3372120 has 192 divisors, whose sum is σ = 12636000. Its totient is φ = 774144.

The previous prime is 3372119. The next prime is 3372151. The reversal of 3372120 is 212733.

3372120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3372120² = 22742386588800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3372093 and 3372102.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 116266 + ... + 116294.

Almost surely, 2^3372120 is an apocalyptic number.

3372120 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 3372120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318000).

3372120 is an abundant number, since it is smaller than the sum of its proper divisors (9263880).

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

3372120 is a wasteful number, since it uses less digits than its factorization.

3372120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3372120 is about 1836.3333030798. Note that the first 4 decimals coincide. The cubic root of 3372120 is about 149.9573211913.

Adding to 3372120 its reverse (212733), we get a palindrome (3584853).

The spelling of 3372120 in words is "three million, three hundred seventy-two thousand, one hundred twenty".