3442080 has 96 divisors (see below), whose sum is σ = 11104128. Its totient is φ = 896000.

The previous prime is 3442063. The next prime is 3442091. The reversal of 3442080 is 802443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 34030 + ... + 34130.

It is an arithmetic number, because the mean of its divisors is an integer number (115668).

Almost surely, 2^3442080 is an apocalyptic number.

3442080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3442080 is the 1515-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552064).

3442080 is an abundant number, since it is smaller than the sum of its proper divisors (7662048).

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

3442080 is a wasteful number, since it uses less digits than its factorization.

3442080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3442080 is about 1855.2843447838. The cubic root of 3442080 is about 150.9872655664.

The spelling of 3442080 in words is "three million, four hundred forty-two thousand, eighty".