349565634849600 has 4704 divisors, whose sum is σ = 1494436116633600. Its totient is φ = 79815352320000.

The previous prime is 349565634849553. The next prime is 349565634849617. The reversal of 349565634849600 is 6948436565943.

349565634849600 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 6 + 5 + 6 + 3 + 4 + 8 + 4 + 9 + 600 = 666.

It is a super-2 number, since 2×349565634849600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1756611230301 + ... + 1756611230499.

Almost surely, 2^{349565634849600} is an apocalyptic number.

349565634849600 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 349565634849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747218058316800).

349565634849600 is an abundant number, since it is smaller than the sum of its proper divisors (1144870481784000).

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

349565634849600 is a wasteful number, since it uses less digits than its factorization.

349565634849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2015539200, while the sum is 72.

The spelling of 349565634849600 in words is "three hundred forty-nine trillion, five hundred sixty-five billion, six hundred thirty-four million, eight hundred forty-nine thousand, six hundred".