3382900 has 18 divisors (see below), whose sum is σ = 7341110. Its totient is φ = 1353120.

The previous prime is 3382889. The next prime is 3382943. The reversal of 3382900 is 92833.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 438244 + 2944656 = 662^2 + 1716^2 .

It is a super-2 number, since 2×3382900² = 22888024820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16815 + ... + 17014.

Almost surely, 2^3382900 is an apocalyptic number.

It is an amenable number.

3382900 is an abundant number, since it is smaller than the sum of its proper divisors (3958210).

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

3382900 is a wasteful number, since it uses less digits than its factorization.

3382900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33843 (or 33836 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 3382900 is about 1839.2661580098. The cubic root of 3382900 is about 150.1169458378.

The spelling of 3382900 in words is "three million, three hundred eighty-two thousand, nine hundred".