3907685376 has 352 divisors, whose sum is σ = 13483343360. Its totient is φ = 1094860800.

The previous prime is 3907685357. The next prime is 3907685381. The reversal of 3907685376 is 6735867093.

3907685376 is a `hidden beast` number, since 39 + 0 + 76 + 8 + 537 + 6 = 666.

It is a super-2 number, since 2×3907685376² = 30540009995608522752, which contains 22 as substring.

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

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, 11805531 + ... + 11805861.

Almost surely, 2^3907685376 is an apocalyptic number.

3907685376 is a gapful number since it is divisible by the number (36) 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 3907685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741671680).

3907685376 is an abundant number, since it is smaller than the sum of its proper divisors (9575657984).

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

3907685376 is a wasteful number, since it uses less digits than its factorization.

3907685376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3907685376 is about 62511.4819533180. The cubic root of 3907685376 is about 1575.0941911923.

The spelling of 3907685376 in words is "three billion, nine hundred seven million, six hundred eighty-five thousand, three hundred seventy-six".