33932972106 has 72 divisors (see below), whose sum is σ = 82784084292. Its totient is φ = 10031894400.

The previous prime is 33932972083. The next prime is 33932972149. The reversal of 33932972106 is 60127923933.

33932972106 is a `hidden beast` number, since 339 + 3 + 297 + 21 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32168216025 + 1764756081 = 179355^2 + 42009^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100701 + ... + 279296.

Almost surely, 2^33932972106 is an apocalyptic number.

33932972106 is an abundant number, since it is smaller than the sum of its proper divisors (48851112186).

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

33932972106 is a wasteful number, since it uses less digits than its factorization.

33932972106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380068 (or 380054 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 33932972106 in words is "thirty-three billion, nine hundred thirty-two million, nine hundred seventy-two thousand, one hundred six".