344742450405000 has 160 divisors (see below), whose sum is σ = 1133658332584800. Its totient is φ = 87092829504000.

The previous prime is 344742450404993. The next prime is 344742450405007. The reversal of 344742450405000 is 504054247443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (344742450404993) and next prime (344742450405007).

It is a super-2 number, since 2×344742450405000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344742450405007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 604526317 + ... + 605096316.

It is an arithmetic number, because the mean of its divisors is an integer number (7085364578655).

Almost surely, 2^{344742450405000} is an apocalyptic number.

344742450405000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344742450405000 is an abundant number, since it is smaller than the sum of its proper divisors (788915882179800).

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

344742450405000 is a wasteful number, since it uses less digits than its factorization.

344742450405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209622681 (or 1209622662 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 42.

The spelling of 344742450405000 in words is "three hundred forty-four trillion, seven hundred forty-two billion, four hundred fifty million, four hundred five thousand".