349343215200 has 1008 divisors, whose sum is σ = 1480373750016. Its totient is φ = 78811315200.

The previous prime is 349343215159. The next prime is 349343215223. The reversal of 349343215200 is 2512343943.

349343215200 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 432 + 15 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×349343215200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 338838685 + ... + 338839715.

It is an arithmetic number, because the mean of its divisors is an integer number (1468624752).

Almost surely, 2^349343215200 is an apocalyptic number.

349343215200 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 349343215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740186875008).

349343215200 is an abundant number, since it is smaller than the sum of its proper divisors (1131030534816).

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

349343215200 is a wasteful number, since it uses less digits than its factorization.

349343215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 349343215200 in words is "three hundred forty-nine billion, three hundred forty-three million, two hundred fifteen thousand, two hundred".