3440716372032 has 224 divisors, whose sum is σ = 9304462569600. Its totient is φ = 1121937702912.

The previous prime is 3440716372021. The next prime is 3440716372057. The reversal of 3440716372032 is 2302736170443.

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, 700897194 + ... + 700902102.

Almost surely, 2^{3440716372032} is an apocalyptic number.

3440716372032 is a gapful number since it is divisible by the number (32) 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 3440716372032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652231284800).

3440716372032 is an abundant number, since it is smaller than the sum of its proper divisors (5863746197568).

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

3440716372032 is a wasteful number, since it uses less digits than its factorization.

3440716372032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5453 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 3440716372032 in words is "three trillion, four hundred forty billion, seven hundred sixteen million, three hundred seventy-two thousand, thirty-two".