344252443920 has 1920 divisors, whose sum is σ = 1538901504000. Its totient is φ = 63185633280.

The previous prime is 344252443897. The next prime is 344252444009. The reversal of 344252443920 is 29344252443.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3217312507 + ... + 3217312613.

It is an arithmetic number, because the mean of its divisors is an integer number (801511200).

Almost surely, 2^344252443920 is an apocalyptic number.

344252443920 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 344252443920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769450752000).

344252443920 is an abundant number, since it is smaller than the sum of its proper divisors (1194649060080).

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

344252443920 is a wasteful number, since it uses less digits than its factorization.

344252443920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 344252443920 in words is "three hundred forty-four billion, two hundred fifty-two million, four hundred forty-three thousand, nine hundred twenty".