346364676 has 72 divisors (see below), whose sum is σ = 1004238144. Its totient is φ = 98602560.

The previous prime is 346364663. The next prime is 346364693. The reversal of 346364676 is 676463643.

346364676 is a `hidden beast` number, since 3 + 4 + 636 + 4 + 6 + 7 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71491 + ... + 76181.

It is an arithmetic number, because the mean of its divisors is an integer number (13947752).

Almost surely, 2^346364676 is an apocalyptic number.

346364676 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 346364676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502119072).

346364676 is an abundant number, since it is smaller than the sum of its proper divisors (657873468).

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

346364676 is a wasteful number, since it uses less digits than its factorization.

346364676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4996 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The square root of 346364676 is about 18610.8752077918. The cubic root of 346364676 is about 702.2814514162.

The spelling of 346364676 in words is "three hundred forty-six million, three hundred sixty-four thousand, six hundred seventy-six".