349763890260 has 48 divisors (see below), whose sum is σ = 987050244096. Its totient is φ = 92535956352.

The previous prime is 349763890241. The next prime is 349763890261. The reversal of 349763890260 is 62098367943.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 349763890260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349763890261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22942767 + ... + 22958006.

It is an arithmetic number, because the mean of its divisors is an integer number (20563546752).

Almost surely, 2^349763890260 is an apocalyptic number.

349763890260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349763890260 is an abundant number, since it is smaller than the sum of its proper divisors (637286353836).

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

349763890260 is a wasteful number, since it uses less digits than its factorization.

349763890260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45900912 (or 45900910 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 349763890260 in words is "three hundred forty-nine billion, seven hundred sixty-three million, eight hundred ninety thousand, two hundred sixty".