33275938360900 has 81 divisors (see below), whose sum is σ = 72483335638749. Its totient is φ = 13259958392160.

The previous prime is 33275938360883. The next prime is 33275938360919. The reversal of 33275938360900 is 906383957233.

It is a happy number.

The square root of 33275938360900 is 5768530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11979337809924 + 21296600550976 = 3461118^2 + 4614824^2 .

It is a super-2 number, since 2×33275938360900² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17709386161 + ... + 17709388039.

Almost surely, 2^{33275938360900} is an apocalyptic number.

33275938360900 is the 5768530-th square number.

It is an amenable number.

33275938360900 is an abundant number, since it is smaller than the sum of its proper divisors (39207397277849).

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

33275938360900 is an frugal number, since it uses more digits than its factorization.

33275938360900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 58.

The spelling of 33275938360900 in words is "thirty-three trillion, two hundred seventy-five billion, nine hundred thirty-eight million, three hundred sixty thousand, nine hundred".