3362940 has 144 divisors (see below), whose sum is σ = 12422592. Its totient is φ = 718848.

The previous prime is 3362929. The next prime is 3362959. The reversal of 3362940 is 492633.

3362940 is a `hidden beast` number, since 33 + 629 + 4 + 0 = 666.

3362940 is nontrivially palindromic in base 13.

3362940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3362940² = 22618730887200, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 21342 + ... + 21498.

It is an arithmetic number, because the mean of its divisors is an integer number (86268).

Almost surely, 2^3362940 is an apocalyptic number.

3362940 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 3362940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211296).

3362940 is an abundant number, since it is smaller than the sum of its proper divisors (9059652).

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

3362940 is a wasteful number, since it uses less digits than its factorization.

3362940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

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

The square root of 3362940 is about 1833.8320533789. The cubic root of 3362940 is about 149.8211200980.

The spelling of 3362940 in words is "three million, three hundred sixty-two thousand, nine hundred forty".