3438120 has 64 divisors (see below), whose sum is σ = 11790720. Its totient is φ = 785664.

The previous prime is 3438103. The next prime is 3438133. The reversal of 3438120 is 218343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1207 + ... + 2886.

It is an arithmetic number, because the mean of its divisors is an integer number (184230).

Almost surely, 2^3438120 is an apocalyptic number.

3438120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3438120 is an abundant number, since it is smaller than the sum of its proper divisors (8352600).

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

3438120 is a wasteful number, since it uses less digits than its factorization.

3438120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3438120 is about 1854.2168158012. The cubic root of 3438120 is about 150.9293413840.

The spelling of 3438120 in words is "three million, four hundred thirty-eight thousand, one hundred twenty".