349988847264 has 576 divisors, whose sum is σ = 1188794880000. Its totient is φ = 97606494720.

The previous prime is 349988847163. The next prime is 349988847311. The reversal of 349988847264 is 462748889943.

349988847264 is a `hidden beast` number, since 3 + 4 + 9 + 98 + 8 + 8 + 472 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 349988847192 and 349988847201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 974899117 + ... + 974899475.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880000).

Almost surely, 2^349988847264 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 349988847264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440000).

349988847264 is an abundant number, since it is smaller than the sum of its proper divisors (838806032736).

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

349988847264 is a wasteful number, since it uses less digits than its factorization.

349988847264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 581 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 349988847264 in words is "three hundred forty-nine billion, nine hundred eighty-eight million, eight hundred forty-seven thousand, two hundred sixty-four".