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3740456664 = 2333714916603
BaseRepresentation
bin1101111011110010…
…1101011011011000
3100122200022212221000
43132330231123120
530130024103124
61415054545000
7161456233320
oct33674553330
910580285830
103740456664
11164a4324aa
12884808160
13477c1a289
14276ab2280
1516d5a86c9
hexdef2d6d8

3740456664 has 128 divisors (see below), whose sum is σ = 11954880000. Its totient is φ = 1061465472.

The previous prime is 3740456663. The next prime is 3740456677. The reversal of 3740456664 is 4666540473.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3740456663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216987 + ... + 233589.

It is an arithmetic number, because the mean of its divisors is an integer number (93397500).

Almost surely, 23740456664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3740456664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977440000).

3740456664 is an abundant number, since it is smaller than the sum of its proper divisors (8214423336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3740456664 is a wasteful number, since it uses less digits than its factorization.

3740456664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16774 (or 16764 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The square root of 3740456664 is about 61159.2729191576. The cubic root of 3740456664 is about 1552.2972061189.

The spelling of 3740456664 in words is "three billion, seven hundred forty million, four hundred fifty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 149 168 189 216 252 298 378 447 504 596 756 894 1043 1192 1341 1512 1788 2086 2682 3129 3576 4023 4172 5364 6258 8046 8344 9387 10728 12516 16092 16603 18774 25032 28161 32184 33206 37548 49809 56322 66412 75096 99618 112644 116221 132824 149427 199236 225288 232442 298854 348663 398472 448281 464884 597708 697326 896562 929768 1045989 1195416 1394652 1793124 2091978 2473847 2789304 3137967 3586248 4183956 4947694 6275934 7421541 8367912 9895388 12551868 14843082 17316929 19790776 22264623 25103736 29686164 34633858 44529246 51950787 59372328 66793869 69267716 89058492 103901574 133587738 138535432 155852361 178116984 207803148 267175476 311704722 415606296 467557083 534350952 623409444 935114166 1246818888 1870228332 3740456664