3907386560 has 224 divisors, whose sum is σ = 11659258368. Its totient is φ = 1211719680.

The previous prime is 3907386559. The next prime is 3907386577. The reversal of 3907386560 is 656837093.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8549852 + ... + 8550308.

Almost surely, 2^3907386560 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 3907386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829629184).

3907386560 is an abundant number, since it is smaller than the sum of its proper divisors (7751871808).

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

3907386560 is a wasteful number, since it uses less digits than its factorization.

3907386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The square root of 3907386560 is about 62509.0918187107. The cubic root of 3907386560 is about 1575.0540416495.

The spelling of 3907386560 in words is "three billion, nine hundred seven million, three hundred eighty-six thousand, five hundred sixty".