3402311120 has 80 divisors (see below), whose sum is σ = 8533276752. Its totient is φ = 1254113280.

The previous prime is 3402311113. The next prime is 3402311131. The reversal of 3402311120 is 211132043.

It can be written as a sum of positive squares in 8 ways, for example, as 37847104 + 3364464016 = 6152^2 + 58004^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697490 + ... + 702350.

Almost surely, 2^3402311120 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 3402311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266638376).

3402311120 is an abundant number, since it is smaller than the sum of its proper divisors (5130965632).

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

3402311120 is a wasteful number, since it uses less digits than its factorization.

3402311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3402311120 is about 58329.3332723768. Note that the first 3 decimals coincide. The cubic root of 3402311120 is about 1504.0352267477.

Adding to 3402311120 its reverse (211132043), we get a palindrome (3613443163).

The spelling of 3402311120 in words is "three billion, four hundred two million, three hundred eleven thousand, one hundred twenty".