33925928960 has 384 divisors, whose sum is σ = 107501022720. Its totient is φ = 9948364800.

The previous prime is 33925928941. The next prime is 33925929013. The reversal of 33925928960 is 6982952933.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 33925928896 and 33925928905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13402895 + ... + 13405425.

It is an arithmetic number, because the mean of its divisors is an integer number (279950580).

Almost surely, 2^33925928960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33925928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53750511360).

33925928960 is an abundant number, since it is smaller than the sum of its proper divisors (73575093760).

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

33925928960 is a wasteful number, since it uses less digits than its factorization.

33925928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 56.

The spelling of 33925928960 in words is "thirty-three billion, nine hundred twenty-five million, nine hundred twenty-eight thousand, nine hundred sixty".