33922272400 has 45 divisors (see below), whose sum is σ = 81507110251. Its totient is φ = 13567435520.

The previous prime is 33922272367. The next prime is 33922272409. The reversal of 33922272400 is 427222933.

The square root of 33922272400 is 184180.

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 8572537744 + 25349734656 = 92588^2 + 159216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33922272409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3678996 + ... + 3688204.

Almost surely, 2^33922272400 is an apocalyptic number.

33922272400 is the 184180-th square number.

It is an amenable number.

33922272400 is an abundant number, since it is smaller than the sum of its proper divisors (47584837851).

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

33922272400 is an frugal number, since it uses more digits than its factorization.

33922272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18436 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The spelling of 33922272400 in words is "thirty-three billion, nine hundred twenty-two million, two hundred seventy-two thousand, four hundred".