3907916064 has 192 divisors, whose sum is σ = 12387513600. Its totient is φ = 1191407616.

The previous prime is 3907915997. The next prime is 3907916119. The reversal of 3907916064 is 4606197093.

3907916064 is a `hidden beast` number, since 39 + 0 + 7 + 9 + 1 + 606 + 4 = 666.

It is an unprimeable number.

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, 1267677 + ... + 1270755.

It is an arithmetic number, because the mean of its divisors is an integer number (64518300).

Almost surely, 2^3907916064 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 3907916064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193756800).

3907916064 is an abundant number, since it is smaller than the sum of its proper divisors (8479597536).

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

3907916064 is a wasteful number, since it uses less digits than its factorization.

3907916064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3907916064 is about 62513.3270911091. The cubic root of 3907916064 is about 1575.1251855145.

The spelling of 3907916064 in words is "three billion, nine hundred seven million, nine hundred sixteen thousand, sixty-four".