349420760 has 64 divisors (see below), whose sum is σ = 848746080. Its totient is φ = 128701440.

The previous prime is 349420759. The next prime is 349420777. The reversal of 349420760 is 67024943.

It is a self number, because there is not a number n which added to its sum of digits gives 349420760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395279 + ... + 396161.

Almost surely, 2^349420760 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 349420760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424373040).

349420760 is an abundant number, since it is smaller than the sum of its proper divisors (499325320).

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

349420760 is a wasteful number, since it uses less digits than its factorization.

349420760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 349420760 is about 18692.7996833005. The cubic root of 349420760 is about 704.3408892734.

The spelling of 349420760 in words is "three hundred forty-nine million, four hundred twenty thousand, seven hundred sixty".