33390400 has 84 divisors (see below), whose sum is σ = 84330540. Its totient is φ = 13004800.

The previous prime is 33390361. The next prime is 33390421. The reversal of 33390400 is 409333.

It can be written as a sum of positive squares in 6 ways, for example, as 2119936 + 31270464 = 1456^2 + 5592^2 .

It is a super-2 number, since 2×33390400² = 2229837624320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65346 + ... + 65854.

It is an arithmetic number, because the mean of its divisors is an integer number (1003935).

Almost surely, 2^33390400 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 33390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42165270).

33390400 is an abundant number, since it is smaller than the sum of its proper divisors (50940140).

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

33390400 is a wasteful number, since it uses less digits than its factorization.

33390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 33390400 is about 5778.4426967826. The cubic root of 33390400 is about 322.0133476972.

Adding to 33390400 its reverse (409333), we get a palindrome (33799733).

The spelling of 33390400 in words is "thirty-three million, three hundred ninety thousand, four hundred".