349432346179800 has 384 divisors, whose sum is σ = 1309018483080000. Its totient is φ = 85162489344000.

The previous prime is 349432346179799. The next prime is 349432346179811. The reversal of 349432346179800 is 8971643234943.

It is a happy number.

349432346179800 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 3 + 2 + 3 + 4 + 617 + 9 + 8 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17551725 + ... + 31732124.

Almost surely, 2^{349432346179800} is an apocalyptic number.

349432346179800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349432346179800 is an abundant number, since it is smaller than the sum of its proper divisors (959586136900200).

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

349432346179800 is a wasteful number, since it uses less digits than its factorization.

349432346179800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49283988 (or 49283973 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 349432346179800 in words is "three hundred forty-nine trillion, four hundred thirty-two billion, three hundred forty-six million, one hundred seventy-nine thousand, eight hundred".