349844745600 has 768 divisors, whose sum is σ = 1476476928000. Its totient is φ = 79241379840.

The previous prime is 349844745571. The next prime is 349844745659. The reversal of 349844745600 is 6547448943.

349844745600 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 4 + 4 + 74 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68339841 + ... + 68344959.

It is an arithmetic number, because the mean of its divisors is an integer number (1922496000).

Almost surely, 2^349844745600 is an apocalyptic number.

349844745600 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 349844745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738238464000).

349844745600 is an abundant number, since it is smaller than the sum of its proper divisors (1126632182400).

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

349844745600 is a wasteful number, since it uses less digits than its factorization.

349844745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5272 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 349844745600 in words is "three hundred forty-nine billion, eight hundred forty-four million, seven hundred forty-five thousand, six hundred".