3442920 has 64 divisors (see below), whose sum is σ = 11128320. Its totient is φ = 847104.

The previous prime is 3442913. The next prime is 3442921. The reversal of 3442920 is 292443.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457 + ... + 2663.

It is an arithmetic number, because the mean of its divisors is an integer number (173880).

Almost surely, 2^3442920 is an apocalyptic number.

3442920 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 3442920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564160).

3442920 is an abundant number, since it is smaller than the sum of its proper divisors (7685400).

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

3442920 is a wasteful number, since it uses less digits than its factorization.

3442920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3442920 is about 1855.5107113676. The cubic root of 3442920 is about 150.9995468021. Note that the first 3 decimals are identical.

The spelling of 3442920 in words is "three million, four hundred forty-two thousand, nine hundred twenty".