32818000400 has 60 divisors (see below), whose sum is σ = 79042253844. Its totient is φ = 13094400000.

The previous prime is 32818000399. The next prime is 32818000447. The reversal of 32818000400 is 400081823.

It can be written as a sum of positive squares in 6 ways, for example, as 3166537984 + 29651462416 = 56272^2 + 172196^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32818000400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58100 + ... + 262700.

Almost surely, 2^32818000400 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 32818000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39521126922).

32818000400 is an abundant number, since it is smaller than the sum of its proper divisors (46224253444).

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

32818000400 is a wasteful number, since it uses less digits than its factorization.

32818000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205020 (or 205009 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 32818000400 in words is "thirty-two billion, eight hundred eighteen million, four hundred", and thus it is an aban number.