3956450640 has 320 divisors, whose sum is σ = 13199155200. Its totient is φ = 978647040.

The previous prime is 3956450627. The next prime is 3956450669. The reversal of 3956450640 is 460546593.

3956450640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3956450592 and 3956450601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26553286 + ... + 26553434.

It is an arithmetic number, because the mean of its divisors is an integer number (41247360).

Almost surely, 2^3956450640 is an apocalyptic number.

3956450640 is a gapful number since it is divisible by the number (30) 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 3956450640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

3956450640 is an abundant number, since it is smaller than the sum of its proper divisors (9242704560).

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

3956450640 is a wasteful number, since it uses less digits than its factorization.

3956450640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 3956450640 is about 62900.3230516346. The cubic root of 3956450640 is about 1581.6191594569.

The spelling of 3956450640 in words is "three billion, nine hundred fifty-six million, four hundred fifty thousand, six hundred forty".