349718261760 has 1248 divisors, whose sum is σ = 1452394045440. Its totient is φ = 76186386432.

The previous prime is 349718261749. The next prime is 349718261777. The reversal of 349718261760 is 67162817943.

349718261760 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 18 + 2 + 617 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 349718261697 and 349718261706.

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, 4426813401 + ... + 4426813479.

It is an arithmetic number, because the mean of its divisors is an integer number (1163777280).

Almost surely, 2^349718261760 is an apocalyptic number.

349718261760 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 349718261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726197022720).

349718261760 is an abundant number, since it is smaller than the sum of its proper divisors (1102675783680).

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

349718261760 is a wasteful number, since it uses less digits than its factorization.

349718261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 349718261760 in words is "three hundred forty-nine billion, seven hundred eighteen million, two hundred sixty-one thousand, seven hundred sixty".