349747865280 has 1120 divisors, whose sum is σ = 1462604014080. Its totient is φ = 78383185920.

The previous prime is 349747865261. The next prime is 349747865281. The reversal of 349747865280 is 82568747943.

349747865280 is a `hidden beast` number, since 3 + 497 + 4 + 7 + 8 + 65 + 2 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (349747865281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 285974749 + ... + 285975971.

Almost surely, 2^349747865280 is an apocalyptic number.

349747865280 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 349747865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731302007040).

349747865280 is an abundant number, since it is smaller than the sum of its proper divisors (1112856148800).

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

349747865280 is a wasteful number, since it uses less digits than its factorization.

349747865280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 349747865280 in words is "three hundred forty-nine billion, seven hundred forty-seven million, eight hundred sixty-five thousand, two hundred eighty".