3390408 has 108 divisors (see below), whose sum is σ = 11037195. Its totient is φ = 937440.

The previous prime is 3390391. The next prime is 3390427. The reversal of 3390408 is 8040933.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1695204 + 1695204 = 1302^2 + 1302^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1302.

It is a super-2 number, since 2×3390408² = 22989732812928, which contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 109353 + ... + 109383.

Almost surely, 2^3390408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3390408

3390408 is an abundant number, since it is smaller than the sum of its proper divisors (7646787).

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

3390408 is a wasteful number, since it uses less digits than its factorization.

3390408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3390408 is about 1841.3060582098. The cubic root of 3390408 is about 150.2279201739.

Multiplying 3390408 by its product of nonzero digits (2592), we get a square (8787937536 = 93744²).

The spelling of 3390408 in words is "three million, three hundred ninety thousand, four hundred eight".