3370920 has 64 divisors (see below), whose sum is σ = 11560320. Its totient is φ = 770304.

The previous prime is 3370919. The next prime is 3370933. The reversal of 3370920 is 290733.

It is a super-2 number, since 2×3370920² = 22726203292800, which contains 22 as substring.

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

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, 1167 + ... + 2846.

It is an arithmetic number, because the mean of its divisors is an integer number (180630).

Almost surely, 2^3370920 is an apocalyptic number.

3370920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3370920 is an abundant number, since it is smaller than the sum of its proper divisors (8189400).

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

3370920 is a wasteful number, since it uses less digits than its factorization.

3370920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 3370920 is about 1836.0065359361. The cubic root of 3370920 is about 149.9395311823.

Subtracting from 3370920 its sum of digits (24), we obtain a square (3370896 = 1836²).

The spelling of 3370920 in words is "three million, three hundred seventy thousand, nine hundred twenty".