3727931904 has 320 divisors, whose sum is σ = 12109046400. Its totient is φ = 1127153664.

The previous prime is 3727931899. The next prime is 3727931957. The reversal of 3727931904 is 4091397273.

3727931904 is a `hidden beast` number, since 372 + 7 + 93 + 190 + 4 = 666.

It is a super-2 number, since 2×3727931904² = 27794952561722130432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3727931904.

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, 6814959 + ... + 6815505.

It is an arithmetic number, because the mean of its divisors is an integer number (37840770).

Almost surely, 2^3727931904 is an apocalyptic number.

3727931904 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 3727931904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054523200).

3727931904 is an abundant number, since it is smaller than the sum of its proper divisors (8381114496).

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

3727931904 is a wasteful number, since it uses less digits than its factorization.

3727931904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 598 counting only the distinct ones).

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

The square root of 3727931904 is about 61056.7924476876. The cubic root of 3727931904 is about 1550.5626682834.

The spelling of 3727931904 in words is "three billion, seven hundred twenty-seven million, nine hundred thirty-one thousand, nine hundred four".