349136428892160 has 2048 divisors, whose sum is σ = 1478374977945600. Its totient is φ = 68294258196480.

The previous prime is 349136428892129. The next prime is 349136428892171. The reversal of 349136428892160 is 61298824631943.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a junction number, because it is equal to n+sod(n) for n = 349136428892091 and 349136428892100.

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 127 ways as a sum of consecutive naturals, for example, 39942385390 + ... + 39942394130.

It is an arithmetic number, because the mean of its divisors is an integer number (721862782200).

Almost surely, 2^{349136428892160} is an apocalyptic number.

349136428892160 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 349136428892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739187488972800).

349136428892160 is an abundant number, since it is smaller than the sum of its proper divisors (1129238549053440).

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

349136428892160 is a wasteful number, since it uses less digits than its factorization.

349136428892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865 (or 8837 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 66.

The spelling of 349136428892160 in words is "three hundred forty-nine trillion, one hundred thirty-six billion, four hundred twenty-eight million, eight hundred ninety-two thousand, one hundred sixty".