33944085504 has 880 divisors, whose sum is σ = 129827617920. Its totient is φ = 8599633920.

The previous prime is 33944085493. The next prime is 33944085509. The reversal of 33944085504 is 40558044933.

33944085504 is a `hidden beast` number, since 3 + 3 + 94 + 4 + 0 + 8 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 33944085504.

It is not an unprimeable number, because it can be changed into a prime (33944085509) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 187536294 + ... + 187536474.

It is an arithmetic number, because the mean of its divisors is an integer number (147531384).

Almost surely, 2^33944085504 is an apocalyptic number.

33944085504 is a gapful number since it is divisible by the number (34) 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 33944085504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64913808960).

33944085504 is an abundant number, since it is smaller than the sum of its proper divisors (95883532416).

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

33944085504 is a wasteful number, since it uses less digits than its factorization.

33944085504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 33944085504 in words is "thirty-three billion, nine hundred forty-four million, eighty-five thousand, five hundred four".