33904695968 has 192 divisors, whose sum is σ = 83186175744. Its totient is φ = 13381632000.

The previous prime is 33904695967. The next prime is 33904696019. The reversal of 33904695968 is 86959640933.

It is a super-2 number, since 2×33904695968² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33904695968.

It is not an unprimeable number, because it can be changed into a prime (33904695967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6417488 + ... + 6422768.

It is an arithmetic number, because the mean of its divisors is an integer number (433261332).

Almost surely, 2^33904695968 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 33904695968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41593087872).

33904695968 is an abundant number, since it is smaller than the sum of its proper divisors (49281479776).

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

33904695968 is a wasteful number, since it uses less digits than its factorization.

33904695968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5399 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 62.

The spelling of 33904695968 in words is "thirty-three billion, nine hundred four million, six hundred ninety-five thousand, nine hundred sixty-eight".