33996721924 has 135 divisors (see below), whose sum is σ = 71960165641. Its totient is φ = 14042533120.

The previous prime is 33996721903. The next prime is 33996721949. The reversal of 33996721924 is 42912769933.

The square root of 33996721924 is 184382.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 974563524 + 33022158400 = 31218^2 + 181720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1172300742 + ... + 1172300770.

Almost surely, 2^33996721924 is an apocalyptic number.

33996721924 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

33996721924 is the 184382-nd square number.

It is an amenable number.

33996721924 is an abundant number, since it is smaller than the sum of its proper divisors (37963443717).

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

33996721924 is an equidigital number, since it uses as much as digits as its factorization.

33996721924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 59 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 55.

The spelling of 33996721924 in words is "thirty-three billion, nine hundred ninety-six million, seven hundred twenty-one thousand, nine hundred twenty-four".