346854816 has 144 divisors (see below), whose sum is σ = 1229836608. Its totient is φ = 90086400.

The previous prime is 346854803. The next prime is 346854817. The reversal of 346854816 is 618458643.

346854816 is a `hidden beast` number, since 34 + 68 + 548 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (346854817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14356 + ... + 29996.

It is an arithmetic number, because the mean of its divisors is an integer number (8540532).

Almost surely, 2^346854816 is an apocalyptic number.

346854816 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 346854816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614918304).

346854816 is an abundant number, since it is smaller than the sum of its proper divisors (882981792).

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

346854816 is a wasteful number, since it uses less digits than its factorization.

346854816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15675 (or 15664 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 346854816 is about 18624.0386597537. The cubic root of 346854816 is about 702.6125610004.

The spelling of 346854816 in words is "three hundred forty-six million, eight hundred fifty-four thousand, eight hundred sixteen".