3431120 has 80 divisors (see below), whose sum is σ = 9963648. Its totient is φ = 1067520.

The previous prime is 3431119. The next prime is 3431123. The reversal of 3431120 is 211343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 3431095 and 3431104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431123) 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, 5882 + ... + 6438.

Almost surely, 2^3431120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981824).

3431120 is an abundant number, since it is smaller than the sum of its proper divisors (6532528).

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

3431120 is a wasteful number, since it uses less digits than its factorization.

3431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3431120 is about 1852.3282646443. The cubic root of 3431120 is about 150.8268412564.

Adding to 3431120 its reverse (211343), we get a palindrome (3642463).

The spelling of 3431120 in words is "three million, four hundred thirty-one thousand, one hundred twenty".