3402180 has 72 divisors (see below), whose sum is σ = 10594584. Its totient is φ = 883200.

The previous prime is 3402173. The next prime is 3402211. The reversal of 3402180 is 812043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 3392964 = 96^2 + 1842^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7150 + ... + 7610.

It is an arithmetic number, because the mean of its divisors is an integer number (147147).

Almost surely, 2^3402180 is an apocalyptic number.

3402180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 1844×1845.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297292).

3402180 is an abundant number, since it is smaller than the sum of its proper divisors (7192404).

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

3402180 is a wasteful number, since it uses less digits than its factorization.

3402180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3402180 is about 1844.4999322310. The cubic root of 3402180 is about 150.4015905407.

The spelling of 3402180 in words is "three million, four hundred two thousand, one hundred eighty".