349100766 has 80 divisors (see below), whose sum is σ = 898846080. Its totient is φ = 99202320.

The previous prime is 349100761. The next prime is 349100767. The reversal of 349100766 is 667001943.

It is a self number, because there is not a number n which added to its sum of digits gives 349100766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349100761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 238545 + ... + 240003.

It is an arithmetic number, because the mean of its divisors is an integer number (11235576).

Almost surely, 2^349100766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349100766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449423040).

349100766 is an abundant number, since it is smaller than the sum of its proper divisors (549745314).

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

349100766 is a wasteful number, since it uses less digits than its factorization.

349100766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 349100766 is about 18684.2384377849. The cubic root of 349100766 is about 704.1258155279.

It can be divided in two parts, 349100 and 766, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 349100766 in words is "three hundred forty-nine million, one hundred thousand, seven hundred sixty-six".