3362625 has 72 divisors (see below), whose sum is σ = 7166952. Its totient is φ = 1512000.

The previous prime is 3362603. The next prime is 3362627. The reversal of 3362625 is 5262633.

3362625 is a `hidden beast` number, since 3 + 36 + 2 + 625 = 666.

3362625 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 4 ways, for example, as 815409 + 2547216 = 903^2 + 1596^2 .

It is not a de Polignac number, because 3362625 - 2⁷ = 3362497 is a prime.

It is a super-2 number, since 2×3362625² = 22614493781250, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁶ + 3¹³ + 6⁵ + 2³ + 6⁸ + 2¹¹ + 5⁷ .

It is not an unprimeable number, because it can be changed into a prime (3362627) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 55095 + ... + 55155.

It is an arithmetic number, because the mean of its divisors is an integer number (99541).

Almost surely, 2^3362625 is an apocalyptic number.

3362625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3362625 is an abundant number, since it is smaller than the sum of its proper divisors (3804327).

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

3362625 is a wasteful number, since it uses less digits than its factorization.

3362625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 3362625 is about 1833.7461656402. The cubic root of 3362625 is about 149.8164421350.

The spelling of 3362625 in words is "three million, three hundred sixty-two thousand, six hundred twenty-five".