3373286400 has 495 divisors, whose sum is σ = 13285674805. Its totient is φ = 817766400.

The previous prime is 3373286393. The next prime is 3373286431. The reversal of 3373286400 is 46823733.

The square root of 3373286400 is 58080.

It is a perfect power (a square), and thus also a powerful number.

3373286400 is a `hidden beast` number, since 3 + 3 + 7 + 3 + 2 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1214383104 + 2158903296 = 34848^2 + 46464^2 .

It is a tau number, because it is divible by the number of its divisors (495).

It is a super-2 number, since 2×3373286400² = 22758122272849920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 44 ways as a sum of consecutive naturals, for example, 306662395 + ... + 306662405.

Almost surely, 2^3373286400 is an apocalyptic number.

3373286400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3373286400 is the 58080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3373286400

3373286400 is an abundant number, since it is smaller than the sum of its proper divisors (9912388405).

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

3373286400 is an equidigital number, since it uses as much as digits as its factorization.

3373286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The cubic root of 3373286400 is about 1499.7460903557.

Multiplying 3373286400 by its sum of digits (36), we get a square (121438310400 = 348480²).

3373286400 divided by its sum of digits (36) gives a square (93702400 = 9680²).

The spelling of 3373286400 in words is "three billion, three hundred seventy-three million, two hundred eighty-six thousand, four hundred".