349780939080 has 256 divisors, whose sum is σ = 1094941670400. Its totient is φ = 89317662720.

The previous prime is 349780939043. The next prime is 349780939099. The reversal of 349780939080 is 80939087943.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122256850 + ... + 122259710.

It is an arithmetic number, because the mean of its divisors is an integer number (4277115900).

Almost surely, 2^349780939080 is an apocalyptic number.

349780939080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349780939080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547470835200).

349780939080 is an abundant number, since it is smaller than the sum of its proper divisors (745160731320).

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

349780939080 is a wasteful number, since it uses less digits than its factorization.

349780939080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 349780939080 in words is "three hundred forty-nine billion, seven hundred eighty million, nine hundred thirty-nine thousand, eighty".