349395565824 has 180 divisors, whose sum is σ = 1075443895680. Its totient is φ = 112708039680.

The previous prime is 349395565801. The next prime is 349395565853. The reversal of 349395565824 is 428565593943.

It is a happy number.

349395565824 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 9 + 556 + 58 + 24 = 666.

It is a super-2 number, since 2×349395565824² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 371047 + ... + 914585.

Almost surely, 2^349395565824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349395565824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537721947840).

349395565824 is an abundant number, since it is smaller than the sum of its proper divisors (726048329856).

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

349395565824 is an equidigital number, since it uses as much as digits as its factorization.

349395565824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543598 (or 543575 counting only the distinct ones).

The product of its digits is 139968000, while the sum is 63.

The spelling of 349395565824 in words is "three hundred forty-nine billion, three hundred ninety-five million, five hundred sixty-five thousand, eight hundred twenty-four".