3972166560 has 192 divisors, whose sum is σ = 13990354560. Its totient is φ = 1052559360.

The previous prime is 3972166559. The next prime is 3972166651. The reversal of 3972166560 is 656612793.

3972166560 is a `hidden beast` number, since 3 + 9 + 7 + 21 + 66 + 560 = 666.

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 31 ways as a sum of consecutive naturals, for example, 701340 + ... + 706980.

It is an arithmetic number, because the mean of its divisors is an integer number (72866430).

Almost surely, 2^3972166560 is an apocalyptic number.

3972166560 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 3972166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6995177280).

3972166560 is an abundant number, since it is smaller than the sum of its proper divisors (10018188000).

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

3972166560 is a wasteful number, since it uses less digits than its factorization.

3972166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828 (or 5814 counting only the distinct ones).

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

The square root of 3972166560 is about 63025.1264179613. The cubic root of 3972166560 is about 1583.7105761380.

The spelling of 3972166560 in words is "three billion, nine hundred seventy-two million, one hundred sixty-six thousand, five hundred sixty".