3408180 has 48 divisors (see below), whose sum is σ = 9772224. Its totient is φ = 887040.

The previous prime is 3408179. The next prime is 3408191. The reversal of 3408180 is 818043.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3408180.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1920 + ... + 3240.

It is an arithmetic number, because the mean of its divisors is an integer number (203588).

Almost surely, 2^3408180 is an apocalyptic number.

3408180 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 3408180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886112).

3408180 is an abundant number, since it is smaller than the sum of its proper divisors (6364044).

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

3408180 is a wasteful number, since it uses less digits than its factorization.

3408180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3408180 is about 1846.1256728620. The cubic root of 3408180 is about 150.4899534505.

The spelling of 3408180 in words is "three million, four hundred eight thousand, one hundred eighty".