349622295367680 has 312 divisors, whose sum is σ = 1212518756325240. Its totient is φ = 93183163760640.

The previous prime is 349622295367679. The next prime is 349622295367711. The reversal of 349622295367680 is 86763592226943.

349622295367680 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 2 + 2 + 2 + 9 + 536 + 7 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4968120029184 + 344654175338496 = 2228928^2 + 18564864^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 349622295367599 and 349622295367608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347678410 + ... + 348682550.

It is an arithmetic number, because the mean of its divisors is an integer number (3886278065145).

Almost surely, 2^{349622295367680} is an apocalyptic number.

349622295367680 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 349622295367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606259378162620).

349622295367680 is an abundant number, since it is smaller than the sum of its proper divisors (862896460957560).

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

349622295367680 is a wasteful number, since it uses less digits than its factorization.

349622295367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006065 (or 1006040 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 349622295367680 in words is "three hundred forty-nine trillion, six hundred twenty-two billion, two hundred ninety-five million, three hundred sixty-seven thousand, six hundred eighty".