33464872 has 64 divisors (see below), whose sum is σ = 76170240. Its totient is φ = 13478400.

The previous prime is 33464863. The next prime is 33464887. The reversal of 33464872 is 27846433.

It is a happy number.

It is a super-2 number, since 2×33464872² = 2239795315952768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63972 + ... + 64492.

It is an arithmetic number, because the mean of its divisors is an integer number (1190160).

Almost surely, 2^33464872 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 33464872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38085120).

33464872 is an abundant number, since it is smaller than the sum of its proper divisors (42705368).

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

33464872 is a wasteful number, since it uses less digits than its factorization.

33464872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

The square root of 33464872 is about 5784.8830584550. The cubic root of 33464872 is about 322.2525698638.

The spelling of 33464872 in words is "thirty-three million, four hundred sixty-four thousand, eight hundred seventy-two".