3973564080 has 160 divisors (see below), whose sum is σ = 13713616320. Its totient is φ = 1057536000.

The previous prime is 3973564033. The next prime is 3973564093. The reversal of 3973564080 is 804653793.

3973564080 is a `hidden beast` number, since 3 + 9 + 7 + 3 + 564 + 0 + 80 = 666.

It is a super-2 number, since 2×3973564080² = 31578422995732492800, which contains 22 as substring.

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, 1322580 + ... + 1325580.

It is an arithmetic number, because the mean of its divisors is an integer number (85710102).

Almost surely, 2^3973564080 is an apocalyptic number.

3973564080 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 3973564080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856808160).

3973564080 is an abundant number, since it is smaller than the sum of its proper divisors (9740052240).

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

3973564080 is a wasteful number, since it uses less digits than its factorization.

3973564080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3973564080 is about 63036.2124496705. The cubic root of 3973564080 is about 1583.8962856795.

The spelling of 3973564080 in words is "three billion, nine hundred seventy-three million, five hundred sixty-four thousand, eighty".