349858598312160 has 288 divisors, whose sum is σ = 1364523304015872. Its totient is φ = 79963297459200.

The previous prime is 349858598312129. The next prime is 349858598312203. The reversal of 349858598312160 is 61213895858943.

349858598312160 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 5 + 8 + 598 + 3 + 1 + 21 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184802385 + ... + 186685935.

It is an arithmetic number, because the mean of its divisors is an integer number (4737928138944).

Almost surely, 2^{349858598312160} is an apocalyptic number.

349858598312160 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 349858598312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682261652007936).

349858598312160 is an abundant number, since it is smaller than the sum of its proper divisors (1014664705703712).

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

349858598312160 is a wasteful number, since it uses less digits than its factorization.

349858598312160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902006 (or 1901995 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 349858598312160 in words is "three hundred forty-nine trillion, eight hundred fifty-eight billion, five hundred ninety-eight million, three hundred twelve thousand, one hundred sixty".