33400720 has 20 divisors (see below), whose sum is σ = 77656860. Its totient is φ = 13360256.

The previous prime is 33400711. The next prime is 33400739. The reversal of 33400720 is 2700433.

It can be written as a sum of positive squares in 2 ways, for example, as 18284176 + 15116544 = 4276^2 + 3888^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×33400720² = 2231216193036800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208675 + ... + 208834.

It is an arithmetic number, because the mean of its divisors is an integer number (3882843).

Almost surely, 2^33400720 is an apocalyptic number.

It is an amenable number.

33400720 is an abundant number, since it is smaller than the sum of its proper divisors (44256140).

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

33400720 is a wasteful number, since it uses less digits than its factorization.

33400720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417522 (or 417516 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 33400720 is about 5779.3356019529. The cubic root of 33400720 is about 322.0465192618.

The spelling of 33400720 in words is "thirty-three million, four hundred thousand, seven hundred twenty".