346887648360 has 640 divisors, whose sum is σ = 1299262377600. Its totient is φ = 82301184000.

The previous prime is 346887648343. The next prime is 346887648397. The reversal of 346887648360 is 63846788643.

346887648360 is a `hidden beast` number, since 3 + 4 + 6 + 88 + 76 + 483 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 823960950 + ... + 823961370.

It is an arithmetic number, because the mean of its divisors is an integer number (2030097465).

Almost surely, 2^346887648360 is an apocalyptic number.

346887648360 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 346887648360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649631188800).

346887648360 is an abundant number, since it is smaller than the sum of its proper divisors (952374729240).

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

346887648360 is a wasteful number, since it uses less digits than its factorization.

346887648360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 346887648360 in words is "three hundred forty-six billion, eight hundred eighty-seven million, six hundred forty-eight thousand, three hundred sixty".