33401920 has 28 divisors (see below), whose sum is σ = 79539084. Its totient is φ = 13360640.

The previous prime is 33401903. The next prime is 33401947. The reversal of 33401920 is 2910433.

It can be written as a sum of positive squares in 2 ways, for example, as 17909824 + 15492096 = 4232^2 + 3936^2 .

It is a super-2 number, since 2×33401920² = 2231376519372800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33401891 and 33401900.

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 3 ways as a sum of consecutive naturals, for example, 51871 + ... + 52510.

Almost surely, 2^33401920 is an apocalyptic number.

It is an amenable number.

33401920 is an abundant number, since it is smaller than the sum of its proper divisors (46137164).

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

33401920 is a wasteful number, since it uses less digits than its factorization.

33401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104398 (or 104388 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 33401920 is about 5779.4394191825. The cubic root of 33401920 is about 322.0503759771.

The spelling of 33401920 in words is "thirty-three million, four hundred one thousand, nine hundred twenty".