349540748793600 has 2592 divisors, whose sum is σ = 1478158895775744. Its totient is φ = 71150424883200.

The previous prime is 349540748793529. The next prime is 349540748793611. The reversal of 349540748793600 is 6397847045943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 328824786669 + ... + 328824787731.

Almost surely, 2^{349540748793600} is an apocalyptic number.

349540748793600 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 349540748793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739079447887872).

349540748793600 is an abundant number, since it is smaller than the sum of its proper divisors (1128618146982144).

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

349540748793600 is a wasteful number, since it uses less digits than its factorization.

349540748793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 69.

The spelling of 349540748793600 in words is "three hundred forty-nine trillion, five hundred forty billion, seven hundred forty-eight million, seven hundred ninety-three thousand, six hundred".