349638322176000 has 5760 divisors, whose sum is σ = 1631708019002880. Its totient is φ = 73638346752000.

The previous prime is 349638322175977. The next prime is 349638322176019. The reversal of 349638322176000 is 671223836943.

349638322176000 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 3 + 8 + 3 + 2 + 21 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 102000 × 95472 × 35904.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20566960127992 + ... + 20566960128008.

It is an arithmetic number, because the mean of its divisors is an integer number (283282642188).

Almost surely, 2^{349638322176000} is an apocalyptic number.

349638322176000 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 349638322176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815854009501440).

349638322176000 is an abundant number, since it is smaller than the sum of its proper divisors (1282069696826880).

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

349638322176000 is an frugal number, since it uses more digits than its factorization.

349638322176000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 349638322176000 in words is "three hundred forty-nine trillion, six hundred thirty-eight billion, three hundred twenty-two million, one hundred seventy-six thousand".