349516493640 has 192 divisors, whose sum is σ = 1209839117760. Its totient is φ = 90685267200.

The previous prime is 349516493639. The next prime is 349516493659. The reversal of 349516493640 is 46394615943.

It is a happy number.

349516493640 is a `hidden beast` number, since 3 + 4 + 95 + 1 + 6 + 493 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 126286 + ... + 845565.

It is an arithmetic number, because the mean of its divisors is an integer number (6301245405).

Almost surely, 2^349516493640 is an apocalyptic number.

349516493640 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 349516493640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604919558880).

349516493640 is an abundant number, since it is smaller than the sum of its proper divisors (860322624120).

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

349516493640 is a wasteful number, since it uses less digits than its factorization.

349516493640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971914 (or 971898 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 349516493640 in words is "three hundred forty-nine billion, five hundred sixteen million, four hundred ninety-three thousand, six hundred forty".