3912904249632 has 864 divisors, whose sum is σ = 14291048116800. Its totient is φ = 1047059177472.

The previous prime is 3912904249609. The next prime is 3912904249637. The reversal of 3912904249632 is 2369424092193.

3912904249632 is a `hidden beast` number, since 3 + 9 + 12 + 90 + 424 + 96 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3912904249637) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 644308548 + ... + 644314620.

It is an arithmetic number, because the mean of its divisors is an integer number (16540564950).

Almost surely, 2^{3912904249632} is an apocalyptic number.

3912904249632 is a gapful number since it is divisible by the number (32) 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 3912904249632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7145524058400).

3912904249632 is an abundant number, since it is smaller than the sum of its proper divisors (10378143867168).

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

3912904249632 is a wasteful number, since it uses less digits than its factorization.

3912904249632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6220 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 3912904249632 in words is "three trillion, nine hundred twelve billion, nine hundred four million, two hundred forty-nine thousand, six hundred thirty-two".