349424993280 has 704 divisors, whose sum is σ = 1298865715200. Its totient is φ = 79284142080.

The previous prime is 349424993237. The next prime is 349424993293. The reversal of 349424993280 is 82399424943.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 349424993280.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285710749 + ... + 285711971.

Almost surely, 2^349424993280 is an apocalyptic number.

349424993280 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 349424993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649432857600).

349424993280 is an abundant number, since it is smaller than the sum of its proper divisors (949440721920).

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

349424993280 is a wasteful number, since it uses less digits than its factorization.

349424993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 349424993280 in words is "three hundred forty-nine billion, four hundred twenty-four million, nine hundred ninety-three thousand, two hundred eighty".