349878760 has 192 divisors, whose sum is σ = 1034208000. Its totient is φ = 104079360.

The previous prime is 349878721. The next prime is 349878779. The reversal of 349878760 is 67878943.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 349878698 and 349878707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779016 + ... + 779464.

It is an arithmetic number, because the mean of its divisors is an integer number (5386500).

Almost surely, 2^349878760 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 349878760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104000).

349878760 is an abundant number, since it is smaller than the sum of its proper divisors (684329240).

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

349878760 is a wasteful number, since it uses less digits than its factorization.

349878760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The square root of 349878760 is about 18705.0463779163. The cubic root of 349878760 is about 704.6484909995.

The spelling of 349878760 in words is "three hundred forty-nine million, eight hundred seventy-eight thousand, seven hundred sixty".