32980396320 has 384 divisors, whose sum is σ = 118908518400. Its totient is φ = 8533195776.

The previous prime is 32980396303. The next prime is 32980396387. The reversal of 32980396320 is 2369308923.

32980396320 is a `hidden beast` number, since 3 + 2 + 9 + 8 + 0 + 3 + 9 + 632 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25785441 + ... + 25786719.

It is an arithmetic number, because the mean of its divisors is an integer number (309657600).

Almost surely, 2^32980396320 is an apocalyptic number.

32980396320 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 32980396320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59454259200).

32980396320 is an abundant number, since it is smaller than the sum of its proper divisors (85928122080).

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

32980396320 is a wasteful number, since it uses less digits than its factorization.

32980396320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 32980396320 in words is "thirty-two billion, nine hundred eighty million, three hundred ninety-six thousand, three hundred twenty".