349910972544 has 512 divisors, whose sum is σ = 1172102400000. Its totient is φ = 92128555008.

The previous prime is 349910972539. The next prime is 349910972569. The reversal of 349910972544 is 445279019943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92591647 + ... + 92595425.

It is an arithmetic number, because the mean of its divisors is an integer number (2289262500).

Almost surely, 2^349910972544 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 349910972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586051200000).

349910972544 is an abundant number, since it is smaller than the sum of its proper divisors (822191427456).

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

349910972544 is a wasteful number, since it uses less digits than its factorization.

349910972544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 349910972544 in words is "three hundred forty-nine billion, nine hundred ten million, nine hundred seventy-two thousand, five hundred forty-four".