33980034816 has 576 divisors, whose sum is σ = 125269401600. Its totient is φ = 8846475264.

The previous prime is 33980034799. The next prime is 33980034821. The reversal of 33980034816 is 61843008933.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55979985 + ... + 55980591.

It is an arithmetic number, because the mean of its divisors is an integer number (217481600).

Almost surely, 2^33980034816 is an apocalyptic number.

33980034816 is a gapful number since it is divisible by the number (36) 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 33980034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62634700800).

33980034816 is an abundant number, since it is smaller than the sum of its proper divisors (91289366784).

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

33980034816 is a wasteful number, since it uses less digits than its factorization.

33980034816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 33980034816 in words is "thirty-three billion, nine hundred eighty million, thirty-four thousand, eight hundred sixteen".