33970894720 has 128 divisors (see below), whose sum is σ = 93545717760. Its totient is φ = 11555260416.

The previous prime is 33970894667. The next prime is 33970894739. The reversal of 33970894720 is 2749807933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 539107 + ... + 598813.

It is an arithmetic number, because the mean of its divisors is an integer number (730825920).

Almost surely, 2^33970894720 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 33970894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46772858880).

33970894720 is an abundant number, since it is smaller than the sum of its proper divisors (59574823040).

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

33970894720 is a wasteful number, since it uses less digits than its factorization.

33970894720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59860 (or 59848 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 33970894720 in words is "thirty-three billion, nine hundred seventy million, eight hundred ninety-four thousand, seven hundred twenty".