346951918656 has 336 divisors, whose sum is σ = 1213673610240. Its totient is φ = 92622458880.

The previous prime is 346951918619. The next prime is 346951918661. The reversal of 346951918656 is 656819159643.

346951918656 is a `hidden beast` number, since 3 + 4 + 69 + 519 + 1 + 8 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 346951918593 and 346951918602.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3576910 + ... + 3672626.

It is an arithmetic number, because the mean of its divisors is an integer number (3612123840).

Almost surely, 2^346951918656 is an apocalyptic number.

346951918656 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 346951918656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606836805120).

346951918656 is an abundant number, since it is smaller than the sum of its proper divisors (866721691584).

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

346951918656 is a wasteful number, since it uses less digits than its factorization.

346951918656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95802 (or 95789 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 346951918656 in words is "three hundred forty-six billion, nine hundred fifty-one million, nine hundred eighteen thousand, six hundred fifty-six".