3947426560 has 288 divisors, whose sum is σ = 11921785344. Its totient is φ = 1226649600.

The previous prime is 3947426557. The next prime is 3947426579. The reversal of 3947426560 is 656247493.

It is a self number, because there is not a number n which added to its sum of digits gives 3947426560.

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, 11925595 + ... + 11925925.

It is an arithmetic number, because the mean of its divisors is an integer number (41395088).

Almost surely, 2^3947426560 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 3947426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960892672).

3947426560 is an abundant number, since it is smaller than the sum of its proper divisors (7974358784).

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

3947426560 is an equidigital number, since it uses as much as digits as its factorization.

3947426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The square root of 3947426560 is about 62828.5489248319. The cubic root of 3947426560 is about 1580.4157641100.

The spelling of 3947426560 in words is "three billion, nine hundred forty-seven million, four hundred twenty-six thousand, five hundred sixty".