33939955984 has 135 divisors (see below), whose sum is σ = 74614025829. Its totient is φ = 14944575360.

The previous prime is 33939955967. The next prime is 33939955997. The reversal of 33939955984 is 48955993933.

The square root of 33939955984 is 184228.

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., 24467216400 + 9472739584 = 156420^2 + 97328^2 .

It is a super-2 number, since 2×33939955984² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

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, 429619657 + ... + 429619735.

Almost surely, 2^33939955984 is an apocalyptic number.

33939955984 is the 184228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33939955984

33939955984 is an abundant number, since it is smaller than the sum of its proper divisors (40674069845).

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

33939955984 is an equidigital number, since it uses as much as digits as its factorization.

33939955984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 145 counting only the distinct ones).

The product of its digits is 141717600, while the sum is 67.

The spelling of 33939955984 in words is "thirty-three billion, nine hundred thirty-nine million, nine hundred fifty-five thousand, nine hundred eighty-four".