349332328800 has 2592 divisors, whose sum is σ = 1665193420800. Its totient is φ = 71327692800.

The previous prime is 349332328771. The next prime is 349332328819. The reversal of 349332328800 is 8823233943.

349332328800 is a `hidden beast` number, since 3 + 49 + 3 + 323 + 288 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 431 ways as a sum of consecutive naturals, for example, 11268784785 + ... + 11268784815.

Almost surely, 2^349332328800 is an apocalyptic number.

349332328800 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 349332328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832596710400).

349332328800 is an abundant number, since it is smaller than the sum of its proper divisors (1315861092000).

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

349332328800 is a wasteful number, since it uses less digits than its factorization.

349332328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 349332328800 in words is "three hundred forty-nine billion, three hundred thirty-two million, three hundred twenty-eight thousand, eight hundred".