3972532930560 has 1536 divisors, whose sum is σ = 15681902745600. Its totient is φ = 949569454080.

The previous prime is 3972532930511. The next prime is 3972532930573. The reversal of 3972532930560 is 650392352793.

3972532930560 is a `hidden beast` number, since 3 + 9 + 7 + 2 + 5 + 329 + 305 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3972532930497 and 3972532930506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9217013545 + ... + 9217013975.

It is an arithmetic number, because the mean of its divisors is an integer number (10209572100).

Almost surely, 2^{3972532930560} is an apocalyptic number.

3972532930560 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 3972532930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840951372800).

3972532930560 is an abundant number, since it is smaller than the sum of its proper divisors (11709369815040).

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

3972532930560 is a wasteful number, since it uses less digits than its factorization.

3972532930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 54.

The spelling of 3972532930560 in words is "three trillion, nine hundred seventy-two billion, five hundred thirty-two million, nine hundred thirty thousand, five hundred sixty".