33975336976 has 135 divisors (see below), whose sum is σ = 79656973149. Its totient is φ = 13996827264.

The previous prime is 33975336959. The next prime is 33975336977. The reversal of 33975336976 is 67963357933.

The square root of 33975336976 is 184324.

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., 17815842576 + 16159494400 = 133476^2 + 127120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33975336977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 149670975 + ... + 149671201.

Almost surely, 2^33975336976 is an apocalyptic number.

33975336976 is the 184324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33975336976

33975336976 is an abundant number, since it is smaller than the sum of its proper divisors (45681636173).

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

33975336976 is an equidigital number, since it uses as much as digits as its factorization.

33975336976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 265 counting only the distinct ones).

The product of its digits is 57868020, while the sum is 61.

The spelling of 33975336976 in words is "thirty-three billion, nine hundred seventy-five million, three hundred thirty-six thousand, nine hundred seventy-six".