349024204800 has 648 divisors, whose sum is σ = 1299236374800. Its totient is φ = 92983541760.

The previous prime is 349024204777. The next prime is 349024204819. The reversal of 349024204800 is 8402420943.

It is a tau number, because it is divible by the number of its divisors (648).

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 polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 335922681 + ... + 335923719.

Almost surely, 2^349024204800 is an apocalyptic number.

349024204800 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 349024204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649618187400).

349024204800 is an abundant number, since it is smaller than the sum of its proper divisors (950212170000).

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

349024204800 is an frugal number, since it uses more digits than its factorization.

349024204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 349024204800 in words is "three hundred forty-nine billion, twenty-four million, two hundred four thousand, eight hundred".