3431560704 has 320 divisors, whose sum is σ = 11384271360. Its totient is φ = 902430720.

The previous prime is 3431560667. The next prime is 3431560729. The reversal of 3431560704 is 4070651343.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3733557 + ... + 3734475.

It is an arithmetic number, because the mean of its divisors is an integer number (35575848).

Almost surely, 2^3431560704 is an apocalyptic number.

3431560704 is a gapful number since it is divisible by the number (34) 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 3431560704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692135680).

3431560704 is an abundant number, since it is smaller than the sum of its proper divisors (7952710656).

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

3431560704 is a wasteful number, since it uses less digits than its factorization.

3431560704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 3431560704 is about 58579.5246139810. The cubic root of 3431560704 is about 1508.3329854019.

The spelling of 3431560704 in words is "three billion, four hundred thirty-one million, five hundred sixty thousand, seven hundred four".