349861822128 has 1280 divisors, whose sum is σ = 1403910144000. Its totient is φ = 80705175552.

The previous prime is 349861822091. The next prime is 349861822153. The reversal of 349861822128 is 821228168943.

349861822128 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 618 + 2 + 2 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 749168551 + ... + 749169017.

It is an arithmetic number, because the mean of its divisors is an integer number (1096804800).

Almost surely, 2^349861822128 is an apocalyptic number.

349861822128 is a gapful number since it is divisible by the number (38) 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 349861822128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701955072000).

349861822128 is an abundant number, since it is smaller than the sum of its proper divisors (1054048321872).

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

349861822128 is a wasteful number, since it uses less digits than its factorization.

349861822128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 587 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 349861822128 in words is "three hundred forty-nine billion, eight hundred sixty-one million, eight hundred twenty-two thousand, one hundred twenty-eight".