349303951360 has 832 divisors, whose sum is σ = 1117603630080. Its totient is φ = 101732843520.

The previous prime is 349303951357. The next prime is 349303951379. The reversal of 349303951360 is 63159303943.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 349303951360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1243074420 + ... + 1243074700.

Almost surely, 2^349303951360 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 349303951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558801815040).

349303951360 is an abundant number, since it is smaller than the sum of its proper divisors (768299678720).

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

349303951360 is a wasteful number, since it uses less digits than its factorization.

349303951360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 46.

The spelling of 349303951360 in words is "three hundred forty-nine billion, three hundred three million, nine hundred fifty-one thousand, three hundred sixty".