349194700800 has 432 divisors, whose sum is σ = 1364297210640. Its totient is φ = 84652032000.

The previous prime is 349194700753. The next prime is 349194700807. The reversal of 349194700800 is 8007491943.

349194700800 is a `hidden beast` number, since 3 + 491 + 94 + 70 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (349194700807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5034355 + ... + 5103245.

It is an arithmetic number, because the mean of its divisors is an integer number (3158095395).

Almost surely, 2^349194700800 is an apocalyptic number.

349194700800 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 349194700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682148605320).

349194700800 is an abundant number, since it is smaller than the sum of its proper divisors (1015102509840).

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

349194700800 is a wasteful number, since it uses less digits than its factorization.

349194700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68940 (or 68912 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 349194700800 in words is "three hundred forty-nine billion, one hundred ninety-four million, seven hundred thousand, eight hundred".