33680337408 has 160 divisors (see below), whose sum is σ = 104031734400. Its totient is φ = 10738556928.

The previous prime is 33680337391. The next prime is 33680337497. The reversal of 33680337408 is 80473308633.

It is a super-2 number, since 2×33680337408² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264988 + ... + 370916.

It is an arithmetic number, because the mean of its divisors is an integer number (650198340).

Almost surely, 2^33680337408 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 33680337408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52015867200).

33680337408 is an abundant number, since it is smaller than the sum of its proper divisors (70351396992).

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

33680337408 is a wasteful number, since it uses less digits than its factorization.

33680337408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105979 (or 105957 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 33680337408 in words is "thirty-three billion, six hundred eighty million, three hundred thirty-seven thousand, four hundred eight".