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3644011668 = 2231171503773
BaseRepresentation
bin1101100100110011…
…0011010010010100
3100101221211222021010
43121030303102110
524430331333133
61401331452220
7156205405503
oct33114632224
910357758233
103644011668
1115aaa499a0
12858457070
13460c4c92b
14267d6883a
15164da7263
hexd9333494

3644011668 has 96 divisors (see below), whose sum is σ = 9437202432. Its totient is φ = 1085123200.

The previous prime is 3644011633. The next prime is 3644011687. The reversal of 3644011668 is 8661104463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4713730 + ... + 4714502.

It is an arithmetic number, because the mean of its divisors is an integer number (98304192).

Almost surely, 23644011668 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 3644011668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718601216).

3644011668 is an abundant number, since it is smaller than the sum of its proper divisors (5793190764).

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

3644011668 is a wasteful number, since it uses less digits than its factorization.

3644011668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3644011668 is about 60365.6497355905. The cubic root of 3644011668 is about 1538.8392428141.

The spelling of 3644011668 in words is "three billion, six hundred forty-four million, eleven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 503 773 781 852 1006 1509 1546 1562 2012 2319 2343 3018 3092 3124 4638 4686 5533 6036 8503 9276 9372 11066 16599 17006 22132 25509 33198 34012 35713 51018 54883 66396 71426 102036 107139 109766 142852 164649 214278 219532 329298 388819 392843 428556 603713 658596 777638 785686 1166457 1178529 1207426 1555276 1571372 1811139 2332914 2357058 2414852 3622278 4277009 4665828 4714116 7244556 8554018 12831027 17108036 25662054 27606149 51324108 55212298 82818447 110424596 165636894 303667639 331273788 607335278 911002917 1214670556 1822005834 3644011668