3390360 has 64 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 855936.

The previous prime is 3390329. The next prime is 3390371. The reversal of 3390360 is 630933.

It is a super-2 number, since 2×3390360² = 22989081859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3390360.

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 15 ways as a sum of consecutive naturals, for example, 1537 + ... + 3023.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

Almost surely, 2^3390360 is an apocalyptic number.

3390360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3390360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

3390360 is an abundant number, since it is smaller than the sum of its proper divisors (7323240).

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

3390360 is a wasteful number, since it uses less digits than its factorization.

3390360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

The square root of 3390360 is about 1841.2930239373. The cubic root of 3390360 is about 150.2272112155.

The spelling of 3390360 in words is "three million, three hundred ninety thousand, three hundred sixty".