349706380320 has 480 divisors, whose sum is σ = 1350317485440. Its totient is φ = 84528783360.

The previous prime is 349706380319. The next prime is 349706380357. The reversal of 349706380320 is 23083607943.

349706380320 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 0 + 638 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51175624 + ... + 51182456.

It is an arithmetic number, because the mean of its divisors is an integer number (2813161428).

Almost surely, 2^349706380320 is an apocalyptic number.

349706380320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349706380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675158742720).

349706380320 is an abundant number, since it is smaller than the sum of its proper divisors (1000611105120).

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

349706380320 is a wasteful number, since it uses less digits than its factorization.

349706380320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7230 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 349706380320 in words is "three hundred forty-nine billion, seven hundred six million, three hundred eighty thousand, three hundred twenty".