3396180 has 72 divisors (see below), whose sum is σ = 10033632. Its totient is φ = 858176.

The previous prime is 3396149. The next prime is 3396181. The reversal of 3396180 is 816933.

3396180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3396181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31687 + ... + 31793.

It is an arithmetic number, because the mean of its divisors is an integer number (139356).

Almost surely, 2^3396180 is an apocalyptic number.

3396180 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 3396180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016816).

3396180 is an abundant number, since it is smaller than the sum of its proper divisors (6637452).

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

3396180 is a wasteful number, since it uses less digits than its factorization.

3396180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3396180 is about 1842.8727574089. The cubic root of 3396180 is about 150.3131236800.

It can be divided in two parts, 33 and 96180, that multiplied together give a triangular number (3173940 = T₂₅₁₉).

The spelling of 3396180 in words is "three million, three hundred ninety-six thousand, one hundred eighty".