33793468900 has 81 divisors (see below), whose sum is σ = 75901673883. Its totient is φ = 13059283200.

The previous prime is 33793468897. The next prime is 33793468927. The reversal of 33793468900 is 986439733.

The square root of 33793468900 is 183830.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22791076 + 33770677824 = 4774^2 + 183768^2 .

It is a super-2 number, since 2×33793468900² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56987004 + ... + 56987596.

Almost surely, 2^33793468900 is an apocalyptic number.

33793468900 is the 183830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33793468900

33793468900 is an abundant number, since it is smaller than the sum of its proper divisors (42108204983).

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

33793468900 is an equidigital number, since it uses as much as digits as its factorization.

33793468900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 52.

The spelling of 33793468900 in words is "thirty-three billion, seven hundred ninety-three million, four hundred sixty-eight thousand, nine hundred".