3214341391920 has 160 divisors (see below), whose sum is σ = 10081620806400. Its totient is φ = 847138010112.

The previous prime is 3214341391913. The next prime is 3214341391951. The reversal of 3214341391920 is 291931434123.

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, 6772966 + ... + 7231994.

It is an arithmetic number, because the mean of its divisors is an integer number (63010130040).

Almost surely, 2^{3214341391920} is an apocalyptic number.

3214341391920 is a gapful number since it is divisible by the number (30) 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 3214341391920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040810403200).

3214341391920 is an abundant number, since it is smaller than the sum of its proper divisors (6867279414480).

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

3214341391920 is a wasteful number, since it uses less digits than its factorization.

3214341391920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459387 (or 459381 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 3214341391920 in words is "three trillion, two hundred fourteen billion, three hundred forty-one million, three hundred ninety-one thousand, nine hundred twenty".