3924970560 has 672 divisors, whose sum is σ = 16456273920. Its totient is φ = 877879296.

The previous prime is 3924970537. The next prime is 3924970571. The reversal of 3924970560 is 650794293.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30905217 + ... + 30905343.

Almost surely, 2^3924970560 is an apocalyptic number.

3924970560 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 3924970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228136960).

3924970560 is an abundant number, since it is smaller than the sum of its proper divisors (12531303360).

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

3924970560 is a wasteful number, since it uses less digits than its factorization.

3924970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3924970560 is about 62649.5854734890. The cubic root of 3924970560 is about 1577.4131895505.

The spelling of 3924970560 in words is "three billion, nine hundred twenty-four million, nine hundred seventy thousand, five hundred sixty".