32345364400 has 90 divisors (see below), whose sum is σ = 81839394260. Its totient is φ = 12251249280.

The previous prime is 32345364391. The next prime is 32345364413. The reversal of 32345364400 is 446354323.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15677769 + ... + 15679831.

Almost surely, 2^32345364400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32345364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40919697130).

32345364400 is an abundant number, since it is smaller than the sum of its proper divisors (49494029860).

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

32345364400 is an equidigital number, since it uses as much as digits as its factorization.

32345364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

The spelling of 32345364400 in words is "thirty-two billion, three hundred forty-five million, three hundred sixty-four thousand, four hundred".