33764480 has 32 divisors (see below), whose sum is σ = 80719740. Its totient is φ = 13505536.

The previous prime is 33764477. The next prime is 33764491. The reversal of 33764480 is 8446733.

It can be written as a sum of positive squares in 2 ways, for example, as 33085504 + 678976 = 5752^2 + 824^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×33764480² = 2280080219340800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33764480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25739 + ... + 27018.

Almost surely, 2^33764480 is an apocalyptic number.

It is an amenable number.

33764480 is an abundant number, since it is smaller than the sum of its proper divisors (46955260).

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

33764480 is an equidigital number, since it uses as much as digits as its factorization.

33764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52776 (or 52764 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 33764480 is about 5810.7211256435. The cubic root of 33764480 is about 323.2114135106.

The spelling of 33764480 in words is "thirty-three million, seven hundred sixty-four thousand, four hundred eighty".