349576952097408 has 640 divisors, whose sum is σ = 1091329070832000. Its totient is φ = 99137662525440.

The previous prime is 349576952097397. The next prime is 349576952097437. The reversal of 349576952097408 is 804790259675943.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84581888110 + ... + 84581892242.

It is an arithmetic number, because the mean of its divisors is an integer number (1705201673175).

Almost surely, 2^{349576952097408} 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 349576952097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545664535416000).

349576952097408 is an abundant number, since it is smaller than the sum of its proper divisors (741752118734592).

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

349576952097408 is an equidigital number, since it uses as much as digits as its factorization.

349576952097408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 4115059200, while the sum is 78.

The spelling of 349576952097408 in words is "three hundred forty-nine trillion, five hundred seventy-six billion, nine hundred fifty-two million, ninety-seven thousand, four hundred eight".