349964961562944 has 1344 divisors, whose sum is σ = 1304008418119680. Its totient is φ = 90595889233920.

The previous prime is 349964961562939. The next prime is 349964961563083. The reversal of 349964961562944 is 449265169469943.

349964961562944 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 6 + 4 + 9 + 6 + 1 + 562 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62039522364 + ... + 62039528004.

It is an arithmetic number, because the mean of its divisors is an integer number (970244358720).

Almost surely, 2^{349964961562944} 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 349964961562944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652004209059840).

349964961562944 is an abundant number, since it is smaller than the sum of its proper divisors (954043456556736).

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

349964961562944 is a wasteful number, since it uses less digits than its factorization.

349964961562944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490 (or 6468 counting only the distinct ones).

The product of its digits is 10883911680, while the sum is 81.

The spelling of 349964961562944 in words is "three hundred forty-nine trillion, nine hundred sixty-four billion, nine hundred sixty-one million, five hundred sixty-two thousand, nine hundred forty-four".