349980341760 has 960 divisors, whose sum is σ = 1447782336000. Its totient is φ = 79371436032.

The previous prime is 349980341749. The next prime is 349980341813. The reversal of 349980341760 is 67143089943.

It is a happy number.

349980341760 is a `hidden beast` number, since 3 + 4 + 99 + 80 + 3 + 417 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 349980341697 and 349980341706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 779466016 + ... + 779466464.

It is an arithmetic number, because the mean of its divisors is an integer number (1508106600).

Almost surely, 2^349980341760 is an apocalyptic number.

349980341760 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 349980341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723891168000).

349980341760 is an abundant number, since it is smaller than the sum of its proper divisors (1097801994240).

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

349980341760 is an equidigital number, since it uses as much as digits as its factorization.

349980341760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 349980341760 in words is "three hundred forty-nine billion, nine hundred eighty million, three hundred forty-one thousand, seven hundred sixty".