3431980464 has 80 divisors (see below), whose sum is σ = 9680808960. Its totient is φ = 1039041280.

The previous prime is 3431980459. The next prime is 3431980471. The reversal of 3431980464 is 4640891343.

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, 757534 + ... + 762050.

It is an arithmetic number, because the mean of its divisors is an integer number (121010112).

Almost surely, 2^3431980464 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 3431980464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840404480).

3431980464 is an abundant number, since it is smaller than the sum of its proper divisors (6248828496).

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

3431980464 is a wasteful number, since it uses less digits than its factorization.

3431980464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3431980464 is about 58583.1073262592. The cubic root of 3431980464 is about 1508.3944843422.

The spelling of 3431980464 in words is "three billion, four hundred thirty-one million, nine hundred eighty thousand, four hundred sixty-four".