33874872 has 32 divisors (see below), whose sum is σ = 89145600. Its totient is φ = 10697184.

The previous prime is 33874861. The next prime is 33874877. The reversal of 33874872 is 27847833.

It is a super-2 number, since 2×33874872² = 2295013906032768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33874877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36688 + ... + 37599.

It is an arithmetic number, because the mean of its divisors is an integer number (2785800).

Almost surely, 2^33874872 is an apocalyptic number.

It is an amenable number.

33874872 is an abundant number, since it is smaller than the sum of its proper divisors (55270728).

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

33874872 is a wasteful number, since it uses less digits than its factorization.

33874872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74315 (or 74311 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 33874872 is about 5820.2123672595. The cubic root of 33874872 is about 323.5632738085.

The spelling of 33874872 in words is "thirty-three million, eight hundred seventy-four thousand, eight hundred seventy-two".