334405934079360 has 256 divisors, whose sum is σ = 1252268376549120. Its totient is φ = 74832097075200.

The previous prime is 334405934079323. The next prime is 334405934079377. The reversal of 334405934079360 is 63970439504433.

It is a happy number.

It is a super-2 number, since 2×334405934079360² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 334405934079294 and 334405934079303.

It is a congruent number.

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, 608710606 + ... + 609259725.

It is an arithmetic number, because the mean of its divisors is an integer number (4891673345895).

Almost surely, 2^{334405934079360} is an apocalyptic number.

334405934079360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334405934079360 is an abundant number, since it is smaller than the sum of its proper divisors (917862442469760).

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

334405934079360 is a wasteful number, since it uses less digits than its factorization.

334405934079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217970377 (or 1217970365 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 60.

The spelling of 334405934079360 in words is "three hundred thirty-four trillion, four hundred five billion, nine hundred thirty-four million, seventy-nine thousand, three hundred sixty".