349685452800 has 234 divisors, whose sum is σ = 1252501389282. Its totient is φ = 93249208320.

The previous prime is 349685452793. The next prime is 349685452801. The reversal of 349685452800 is 8254586943.

349685452800 is a `hidden beast` number, since 3 + 4 + 9 + 68 + 54 + 528 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5407543296 + 344277909504 = 73536^2 + 586752^2 .

It is not an unprimeable number, because it can be changed into a prime (349685452801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 731884 + ... + 1111316.

Almost surely, 2^349685452800 is an apocalyptic number.

349685452800 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 349685452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626250694641).

349685452800 is an abundant number, since it is smaller than the sum of its proper divisors (902815936482).

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

349685452800 is a wasteful number, since it uses less digits than its factorization.

349685452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379473 (or 379443 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 349685452800 in words is "three hundred forty-nine billion, six hundred eighty-five million, four hundred fifty-two thousand, eight hundred".