3390624 has 72 divisors (see below), whose sum is σ = 9850932. Its totient is φ = 1105920.

The previous prime is 3390619. The next prime is 3390641. The reversal of 3390624 is 4260933.

3390624 is a `hidden beast` number, since 3 + 39 + 0 + 624 = 666.

3390624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 608400 = 1668^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3390624² = 22992662218752, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17472 + ... + 17664.

Almost surely, 2^3390624 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 3390624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925466).

3390624 is an abundant number, since it is smaller than the sum of its proper divisors (6460308).

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

3390624 is a wasteful number, since it uses less digits than its factorization.

3390624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3390624 is about 1841.3647112943. The cubic root of 3390624 is about 150.2311104037.

It can be divided in two parts, 33906 and 24, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 3390624 in words is "three million, three hundred ninety thousand, six hundred twenty-four".