3957008640 has 288 divisors, whose sum is σ = 14054347776. Its totient is φ = 942243840.

The previous prime is 3957008639. The next prime is 3957008659. The reversal of 3957008640 is 468007593.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3957008592 and 3957008601.

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, 1546242 + ... + 1548798.

Almost surely, 2^3957008640 is an apocalyptic number.

3957008640 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 3957008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027173888).

3957008640 is an abundant number, since it is smaller than the sum of its proper divisors (10097339136).

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

3957008640 is a wasteful number, since it uses less digits than its factorization.

3957008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3957008640 is about 62904.7584845535. The cubic root of 3957008640 is about 1581.6935107787.

The spelling of 3957008640 in words is "three billion, nine hundred fifty-seven million, eight thousand, six hundred forty".