3912315264 has 576 divisors, whose sum is σ = 14221509120. Its totient is φ = 1021870080.

The previous prime is 3912315233. The next prime is 3912315271. The reversal of 3912315264 is 4625132193.

3912315264 is a `hidden beast` number, since 3 + 9 + 123 + 1 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30805569 + ... + 30805695.

It is an arithmetic number, because the mean of its divisors is an integer number (24690120).

Almost surely, 2^3912315264 is an apocalyptic number.

3912315264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3912315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110754560).

3912315264 is an abundant number, since it is smaller than the sum of its proper divisors (10309193856).

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

3912315264 is a wasteful number, since it uses less digits than its factorization.

3912315264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3912315264 is about 62548.5032914458. The cubic root of 3912315264 is about 1575.7160112548.

It can be divided in two parts, 391231 and 5264, that added together give a triangular number (396495 = T₈₉₀).

The spelling of 3912315264 in words is "three billion, nine hundred twelve million, three hundred fifteen thousand, two hundred sixty-four".