349465918464 has 528 divisors, whose sum is σ = 1170809063424. Its totient is φ = 99510681600.

The previous prime is 349465918429. The next prime is 349465918489. The reversal of 349465918464 is 464819564943.

It is a happy number.

349465918464 is a `hidden beast` number, since 3 + 4 + 9 + 465 + 91 + 84 + 6 + 4 = 666.

It is a super-2 number, since 2×349465918464² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85421059 + ... + 85425149.

It is an arithmetic number, because the mean of its divisors is an integer number (2217441408).

Almost surely, 2^349465918464 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 349465918464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585404531712).

349465918464 is an abundant number, since it is smaller than the sum of its proper divisors (821343144960).

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

349465918464 is a wasteful number, since it uses less digits than its factorization.

349465918464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4163 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 349465918464 in words is "three hundred forty-nine billion, four hundred sixty-five million, nine hundred eighteen thousand, four hundred sixty-four".