33894720 has 112 divisors (see below), whose sum is σ = 119603520. Its totient is φ = 9036288.

The previous prime is 33894683. The next prime is 33894739. The reversal of 33894720 is 2749833.

It is a super-2 number, since 2×33894720² = 2297704087756800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6679 + ... + 10601.

Almost surely, 2^33894720 is an apocalyptic number.

33894720 is a gapful number since it is divisible by the number (30) 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 33894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59801760).

33894720 is an abundant number, since it is smaller than the sum of its proper divisors (85708800).

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

33894720 is a wasteful number, since it uses less digits than its factorization.

33894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 33894720 is about 5821.9172099919. The cubic root of 33894720 is about 323.6264556461.

The spelling of 33894720 in words is "thirty-three million, eight hundred ninety-four thousand, seven hundred twenty".