346939844160 has 448 divisors, whose sum is σ = 1357686489600. Its totient is φ = 73095118848.

The previous prime is 346939844149. The next prime is 346939844203. The reversal of 346939844160 is 61448939643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×346939844160² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 346939844160.

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 63 ways as a sum of consecutive naturals, for example, 70671786 + ... + 70676694.

It is an arithmetic number, because the mean of its divisors is an integer number (3030550200).

Almost surely, 2^346939844160 is an apocalyptic number.

346939844160 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 346939844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678843244800).

346939844160 is an abundant number, since it is smaller than the sum of its proper divisors (1010746645440).

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

346939844160 is a wasteful number, since it uses less digits than its factorization.

346939844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 346939844160 in words is "three hundred forty-six billion, nine hundred thirty-nine million, eight hundred forty-four thousand, one hundred sixty".