3431013040 has 320 divisors, whose sum is σ = 10591322112. Its totient is φ = 1003622400.

The previous prime is 3431013037. The next prime is 3431013059. The reversal of 3431013040 is 403101343.

It is a junction number, because it is equal to n+sod(n) for n = 3431012999 and 3431013017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5190310 + ... + 5190970.

Almost surely, 2^3431013040 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 3431013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295661056).

3431013040 is an abundant number, since it is smaller than the sum of its proper divisors (7160309072).

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

3431013040 is a wasteful number, since it uses less digits than its factorization.

3431013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3431013040 is about 58574.8498931069. The cubic root of 3431013040 is about 1508.2527397356.

Adding to 3431013040 its reverse (403101343), we get a palindrome (3834114383).

The spelling of 3431013040 in words is "three billion, four hundred thirty-one million, thirteen thousand, forty".