33772883076 has 81 divisors (see below), whose sum is σ = 86468455983. Its totient is φ = 11114651520.

The previous prime is 33772883033. The next prime is 33772883093. The reversal of 33772883076 is 67038827733.

The square root of 33772883076 is 183774.

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 4695812676 + 29077070400 = 68526^2 + 170520^2 .

It is a super-2 number, since 2×33772883076² (a number of 22 digits) contains 22 as substring.

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, 120188056 + ... + 120188336.

Almost surely, 2^33772883076 is an apocalyptic number.

33772883076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

33772883076 is the 183774-th square number.

It is an amenable number.

33772883076 is an abundant number, since it is smaller than the sum of its proper divisors (52695572907).

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

33772883076 is a wasteful number, since it uses less digits than its factorization.

33772883076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 33772883076 in words is "thirty-three billion, seven hundred seventy-two million, eight hundred eighty-three thousand, seventy-six".