3442990918320 has 400 divisors, whose sum is σ = 12279935096352. Its totient is φ = 893567324160.

The previous prime is 3442990918309. The next prime is 3442990918361. The reversal of 3442990918320 is 238190992443.

3442990918320 is a `hidden beast` number, since 3 + 442 + 9 + 90 + 91 + 8 + 3 + 20 = 666.

It is a super-3 number, since 3×3442990918320³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78275854 + ... + 78319826.

Almost surely, 2^{3442990918320} is an apocalyptic number.

3442990918320 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 3442990918320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139967548176).

3442990918320 is an abundant number, since it is smaller than the sum of its proper divisors (8836944178032).

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

3442990918320 is a wasteful number, since it uses less digits than its factorization.

3442990918320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44322 (or 44307 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3442990918320 in words is "three trillion, four hundred forty-two billion, nine hundred ninety million, nine hundred eighteen thousand, three hundred twenty".