33904080000 has 1080 divisors, whose sum is σ = 146540838015. Its totient is φ = 7499520000.

The previous prime is 33904079987. The next prime is 33904080017. The reversal of 33904080000 is 8040933.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 7838623296 + 26065456704 = 88536^2 + 161448^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=130200.

It is a super-2 number, since 2×33904080000² (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 134 ways as a sum of consecutive naturals, for example, 1093679985 + ... + 1093680015.

Almost surely, 2^33904080000 is an apocalyptic number.

33904080000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33904080000

33904080000 is an abundant number, since it is smaller than the sum of its proper divisors (112636758015).

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

33904080000 is an equidigital number, since it uses as much as digits as its factorization.

33904080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Multiplying 33904080000 by its product of nonzero digits (2592), we get a square (87879375360000 = 9374400²).

The spelling of 33904080000 in words is "thirty-three billion, nine hundred four million, eighty thousand".