3900625656 has 128 divisors (see below), whose sum is σ = 10540108800. Its totient is φ = 1198540800.

The previous prime is 3900625633. The next prime is 3900625667. The reversal of 3900625656 is 6565260093.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4243965 + ... + 4244883.

It is an arithmetic number, because the mean of its divisors is an integer number (82344600).

Almost surely, 2^3900625656 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 3900625656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270054400).

3900625656 is an abundant number, since it is smaller than the sum of its proper divisors (6639483144).

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

3900625656 is a wasteful number, since it uses less digits than its factorization.

3900625656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The square root of 3900625656 is about 62454.9890401079. The cubic root of 3900625656 is about 1574.1450848364.

The spelling of 3900625656 in words is "three billion, nine hundred million, six hundred twenty-five thousand, six hundred fifty-six".