33732938016 has 36 divisors (see below), whose sum is σ = 95928043302. Its totient is φ = 11244312576.

The previous prime is 33732938003. The next prime is 33732938023. The reversal of 33732938016 is 61083923733.

It can be written as a sum of positive squares in only one way, i.e., 32378403600 + 1354534416 = 179940^2 + 36804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33732938016² (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 (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58563841 + ... + 58564416.

Almost surely, 2^33732938016 is an apocalyptic number.

33732938016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33732938016 is an abundant number, since it is smaller than the sum of its proper divisors (62195105286).

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

33732938016 is a wasteful number, since it uses less digits than its factorization.

33732938016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117128273 (or 117128262 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 33732938016 in words is "thirty-three billion, seven hundred thirty-two million, nine hundred thirty-eight thousand, sixteen".