3431413464160 has 576 divisors, whose sum is σ = 9763130361600. Its totient is φ = 1134744145920.

The previous prime is 3431413464137. The next prime is 3431413464163. The reversal of 3431413464160 is 614643141343.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431413464163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 933208242 + ... + 933211918.

It is an arithmetic number, because the mean of its divisors is an integer number (16949879100).

Almost surely, 2^{3431413464160} 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 3431413464160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881565180800).

3431413464160 is an abundant number, since it is smaller than the sum of its proper divisors (6331716897440).

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

3431413464160 is a wasteful number, since it uses less digits than its factorization.

3431413464160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 3431413464160 in words is "three trillion, four hundred thirty-one billion, four hundred thirteen million, four hundred sixty-four thousand, one hundred sixty".