349683740736 has 224 divisors, whose sum is σ = 1069420060800. Its totient is φ = 99663052800.

The previous prime is 349683740713. The next prime is 349683740759. The reversal of 349683740736 is 637047386943.

It is an interprime number because it is at equal distance from previous prime (349683740713) and next prime (349683740759).

It is a self number, because there is not a number n which added to its sum of digits gives 349683740736.

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, 76868190 + ... + 76872738.

It is an arithmetic number, because the mean of its divisors is an integer number (4774196700).

Almost surely, 2^349683740736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349683740736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534710030400).

349683740736 is an abundant number, since it is smaller than the sum of its proper divisors (719736320064).

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

349683740736 is a wasteful number, since it uses less digits than its factorization.

349683740736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 60.

The spelling of 349683740736 in words is "three hundred forty-nine billion, six hundred eighty-three million, seven hundred forty thousand, seven hundred thirty-six".