349540182835200 has 3240 divisors, whose sum is σ = 1574771044889952. Its totient is φ = 75126401925120.

The previous prime is 349540182835177. The next prime is 349540182835201. The reversal of 349540182835200 is 2538281045943.

349540182835200 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 401 + 8 + 28 + 3 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is not an unprimeable number, because it can be changed into a prime (349540182835201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 319798885854 + ... + 319798886946.

Almost surely, 2^{349540182835200} is an apocalyptic number.

349540182835200 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 349540182835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787385522444976).

349540182835200 is an abundant number, since it is smaller than the sum of its proper divisors (1225230862054752).

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

349540182835200 is an frugal number, since it uses more digits than its factorization.

349540182835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 349540182835200 in words is "three hundred forty-nine trillion, five hundred forty billion, one hundred eighty-two million, eight hundred thirty-five thousand, two hundred".