33411872 has 24 divisors (see below), whose sum is σ = 70840476. Its totient is φ = 15420672.

The previous prime is 33411871. The next prime is 33411883. The reversal of 33411872 is 27811433.

It can be written as a sum of positive squares in 2 ways, for example, as 27081616 + 6330256 = 5204^2 + 2516^2 .

It is a super-2 number, since 2×33411872² = 2232706381088768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33411871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39743 + ... + 40574.

Almost surely, 2^33411872 is an apocalyptic number.

33411872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33411872 is an abundant number, since it is smaller than the sum of its proper divisors (37428604).

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

33411872 is a wasteful number, since it uses less digits than its factorization.

33411872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80340 (or 80332 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 33411872 is about 5780.3003382177. The cubic root of 33411872 is about 322.0823574428.

The spelling of 33411872 in words is "thirty-three million, four hundred eleven thousand, eight hundred seventy-two".