349730131464 has 384 divisors, whose sum is σ = 1162209484800. Its totient is φ = 96415557120.

The previous prime is 349730131463. The next prime is 349730131477. The reversal of 349730131464 is 464131037943.

349730131464 is a `hidden beast` number, since 3 + 497 + 3 + 0 + 13 + 146 + 4 = 666.

It is a super-2 number, since 2×349730131464² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (349730131463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172534819 + ... + 172536845.

It is an arithmetic number, because the mean of its divisors is an integer number (3026587200).

Almost surely, 2^349730131464 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 349730131464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581104742400).

349730131464 is an abundant number, since it is smaller than the sum of its proper divisors (812479353336).

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

349730131464 is a wasteful number, since it uses less digits than its factorization.

349730131464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 349730131464 in words is "three hundred forty-nine billion, seven hundred thirty million, one hundred thirty-one thousand, four hundred sixty-four".