3388900 has 18 divisors (see below), whose sum is σ = 7354130. Its totient is φ = 1355520.

The previous prime is 3388877. The next prime is 3388907. The reversal of 3388900 is 98833.

It can be written as a sum of positive squares in 3 ways, for example, as 879844 + 2509056 = 938^2 + 1584^2 .

It is a super-2 number, since 2×3388900² = 22969286420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3388907) by changing a digit.

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, 16845 + ... + 17044.

Almost surely, 2^3388900 is an apocalyptic number.

It is an amenable number.

3388900 is an abundant number, since it is smaller than the sum of its proper divisors (3965230).

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

3388900 is a wasteful number, since it uses less digits than its factorization.

3388900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33903 (or 33896 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 3388900 is about 1840.8965207203. The cubic root of 3388900 is about 150.2056438678.

The spelling of 3388900 in words is "three million, three hundred eighty-eight thousand, nine hundred".