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3681879608 = 2311471098167
BaseRepresentation
bin1101101101110101…
…0000011000111000
3100111121002212022102
43123131100120320
530020030121413
61405203242532
7160145313611
oct33335203070
910447085272
103681879608
11161a363710
12869079448
13468a4abb4
1426cdc4c08
15168387458
hexdb750638

3681879608 has 64 divisors (see below), whose sum is σ = 7762867200. Its totient is φ = 1622747520.

The previous prime is 3681879599. The next prime is 3681879613. The reversal of 3681879608 is 8069781863.

It is a happy number.

3681879608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446741 + ... + 454907.

It is an arithmetic number, because the mean of its divisors is an integer number (121294800).

Almost surely, 23681879608 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 3681879608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881433600).

3681879608 is an abundant number, since it is smaller than the sum of its proper divisors (4080987592).

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

3681879608 is a wasteful number, since it uses less digits than its factorization.

3681879608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8340 (or 8336 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 56.

The square root of 3681879608 is about 60678.4937848658. The cubic root of 3681879608 is about 1544.1513348671.

The spelling of 3681879608 in words is "three billion, six hundred eighty-one million, eight hundred seventy-nine thousand, six hundred eight".

Divisors: 1 2 4 8 11 22 44 47 88 94 109 188 218 376 436 517 872 1034 1199 2068 2398 4136 4796 5123 8167 9592 10246 16334 20492 32668 40984 56353 65336 89837 112706 179674 225412 359348 383849 450824 718696 767698 890203 1535396 1780406 3070792 3560812 4222339 7121624 8444678 9792233 16889356 19584466 33778712 39168932 41839541 78337864 83679082 167358164 334716328 460234951 920469902 1840939804 3681879608