3432120 has 64 divisors (see below), whose sum is σ = 10588320. Its totient is φ = 889344.

The previous prime is 3432109. The next prime is 3432127. The reversal of 3432120 is 212343.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3432120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4054 + ... + 4826.

Almost surely, 2^3432120 is an apocalyptic number.

3432120 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 3432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294160).

3432120 is an abundant number, since it is smaller than the sum of its proper divisors (7156200).

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

3432120 is a wasteful number, since it uses less digits than its factorization.

3432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3432120 is about 1852.5981755362. The cubic root of 3432120 is about 150.8414926619.

Adding to 3432120 its reverse (212343), we get a palindrome (3644463).

The spelling of 3432120 in words is "three million, four hundred thirty-two thousand, one hundred twenty".