346099579056 has 320 divisors, whose sum is σ = 1311426063360. Its totient is φ = 84607856640.

The previous prime is 346099579043. The next prime is 346099579079. The reversal of 346099579056 is 650975990643.

346099579056 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 9 + 9 + 579 + 0 + 56 = 666.

It is a super-2 number, since 2×346099579056² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 346099578984 and 346099579002.

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, 259470 + ... + 871506.

It is an arithmetic number, because the mean of its divisors is an integer number (4098206448).

Almost surely, 2^346099579056 is an apocalyptic number.

346099579056 is a gapful number since it is divisible by the number (36) 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 346099579056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655713031680).

346099579056 is an abundant number, since it is smaller than the sum of its proper divisors (965326484304).

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

346099579056 is a wasteful number, since it uses less digits than its factorization.

346099579056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612089 (or 612077 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 346099579056 in words is "three hundred forty-six billion, ninety-nine million, five hundred seventy-nine thousand, fifty-six".