349627608000 has 336 divisors, whose sum is σ = 1364377154400. Its totient is φ = 84758016000.

The previous prime is 349627607993. The next prime is 349627608017. The reversal of 349627608000 is 806726943.

349627608000 is a `hidden beast` number, since 3 + 496 + 27 + 60 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 571276 + ... + 1012724.

Almost surely, 2^349627608000 is an apocalyptic number.

349627608000 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 349627608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682188577200).

349627608000 is an abundant number, since it is smaller than the sum of its proper divisors (1014749546400).

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

349627608000 is a wasteful number, since it uses less digits than its factorization.

349627608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441493 (or 441470 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 349627608000 in words is "three hundred forty-nine billion, six hundred twenty-seven million, six hundred eight thousand".