3712379904 has 352 divisors, whose sum is σ = 11947929600. Its totient is φ = 1134673920.

The previous prime is 3712379903. The next prime is 3712379933. The reversal of 3712379904 is 4099732173.

It is a self number, because there is not a number n which added to its sum of digits gives 3712379904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3712379903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19436449 + ... + 19436639.

Almost surely, 2^3712379904 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 3712379904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973964800).

3712379904 is an abundant number, since it is smaller than the sum of its proper divisors (8235549696).

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

3712379904 is a wasteful number, since it uses less digits than its factorization.

3712379904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 3712379904 is about 60929.3025070860. The cubic root of 3712379904 is about 1548.4034763429.

The spelling of 3712379904 in words is "three billion, seven hundred twelve million, three hundred seventy-nine thousand, nine hundred four".