346227220476 has 192 divisors, whose sum is σ = 950906880000. Its totient is φ = 108718593984.

The previous prime is 346227220447. The next prime is 346227220481. The reversal of 346227220476 is 674022722643.

346227220476 is a `hidden beast` number, since 34 + 62 + 2 + 72 + 20 + 476 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86145595 + ... + 86149613.

It is an arithmetic number, because the mean of its divisors is an integer number (4952640000).

Almost surely, 2^346227220476 is an apocalyptic number.

346227220476 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 346227220476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475453440000).

346227220476 is an abundant number, since it is smaller than the sum of its proper divisors (604679659524).

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

346227220476 is a wasteful number, since it uses less digits than its factorization.

346227220476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 346227220476 in words is "three hundred forty-six billion, two hundred twenty-seven million, two hundred twenty thousand, four hundred seventy-six".