33964272 has 100 divisors (see below), whose sum is σ = 99926640. Its totient is φ = 11135232.

The previous prime is 33964253. The next prime is 33964303. The reversal of 33964272 is 27246933.

It is a happy number.

33964272 is a `hidden beast` number, since 3 + 3 + 9 + 642 + 7 + 2 = 666.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94429 + ... + 94787.

Almost surely, 2^33964272 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 33964272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49963320).

33964272 is an abundant number, since it is smaller than the sum of its proper divisors (65962368).

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

33964272 is a wasteful number, since it uses less digits than its factorization.

33964272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 33964272 is about 5827.8874388581. The cubic root of 33964272 is about 323.8476650134.

The spelling of 33964272 in words is "thirty-three million, nine hundred sixty-four thousand, two hundred seventy-two".