349103706624 has 640 divisors, whose sum is σ = 1123401312000. Its totient is φ = 108032901120.

The previous prime is 349103706613. The next prime is 349103706647. The reversal of 349103706624 is 426607301943.

349103706624 is a `hidden beast` number, since 3 + 4 + 9 + 10 + 3 + 7 + 0 + 6 + 624 = 666.

It is a super-2 number, since 2×349103706624² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 349103706624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1297783162 + ... + 1297783430.

It is an arithmetic number, because the mean of its divisors is an integer number (1755314550).

Almost surely, 2^349103706624 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 349103706624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561700656000).

349103706624 is an abundant number, since it is smaller than the sum of its proper divisors (774297605376).

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

349103706624 is an frugal number, since it uses more digits than its factorization.

349103706624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 354 counting only the distinct ones).

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

The spelling of 349103706624 in words is "three hundred forty-nine billion, one hundred three million, seven hundred six thousand, six hundred twenty-four".