33140400 has 60 divisors (see below), whose sum is σ = 106163592. Its totient is φ = 8837120.

The previous prime is 33140383. The next prime is 33140413. The reversal of 33140400 is 404133.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×33140400² = 2196572224320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33140400.

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, 12609 + ... + 15008.

Almost surely, 2^33140400 is an apocalyptic number.

33140400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33140400 is an abundant number, since it is smaller than the sum of its proper divisors (73023192).

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

33140400 is a wasteful number, since it uses less digits than its factorization.

33140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27638 (or 27627 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 33140400 is about 5756.7699276591. The cubic root of 33140400 is about 321.2076760949.

Adding to 33140400 its reverse (404133), we get a palindrome (33544533).

The spelling of 33140400 in words is "thirty-three million, one hundred forty thousand, four hundred".