344303013402120 has 64 divisors (see below), whose sum is σ = 1032910737589440. Its totient is φ = 91813986028800.

The previous prime is 344303013402083. The next prime is 344303013402197. The reversal of 344303013402120 is 21204310303443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84138750 + ... + 88135890.

It is an arithmetic number, because the mean of its divisors is an integer number (16139230274835).

Almost surely, 2^{344303013402120} is an apocalyptic number.

344303013402120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344303013402120 is an abundant number, since it is smaller than the sum of its proper divisors (688607724187320).

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

344303013402120 is a wasteful number, since it uses less digits than its factorization.

344303013402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714966 (or 4714962 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 344303013402120 its reverse (21204310303443), we get a palindrome (365507323705563).

The spelling of 344303013402120 in words is "three hundred forty-four trillion, three hundred three billion, thirteen million, four hundred two thousand, one hundred twenty".