32972944320 has 448 divisors, whose sum is σ = 127427126400. Its totient is φ = 7989166080.

The previous prime is 32972944313. The next prime is 32972944327. The reversal of 32972944320 is 2344927923.

32972944320 is a `hidden beast` number, since 32 + 9 + 7 + 294 + 4 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (32972944313) and next prime (32972944327).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32972944327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4255650 + ... + 4263390.

It is an arithmetic number, because the mean of its divisors is an integer number (284435550).

Almost surely, 2^32972944320 is an apocalyptic number.

32972944320 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 32972944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63713563200).

32972944320 is an abundant number, since it is smaller than the sum of its proper divisors (94454182080).

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

32972944320 is a wasteful number, since it uses less digits than its factorization.

32972944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7813 (or 7797 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 32972944320 in words is "thirty-two billion, nine hundred seventy-two million, nine hundred forty-four thousand, three hundred twenty".