348829636844304 has 360 divisors, whose sum is σ = 1238900327402400. Its totient is φ = 90602367206400.

The previous prime is 348829636844287. The next prime is 348829636844317. The reversal of 348829636844304 is 403448636928843.

It is a happy number.

348829636844304 is a `hidden beast` number, since 3 + 4 + 8 + 82 + 9 + 6 + 36 + 84 + 430 + 4 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4480810372 + ... + 4480888220.

It is an arithmetic number, because the mean of its divisors is an integer number (3441389798340).

Almost surely, 2^{348829636844304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348829636844304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619450163701200).

348829636844304 is an abundant number, since it is smaller than the sum of its proper divisors (890070690558096).

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

348829636844304 is a wasteful number, since it uses less digits than its factorization.

348829636844304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135619 (or 135603 counting only the distinct ones).

The product of its (nonzero) digits is 2293235712, while the sum is 72.

The spelling of 348829636844304 in words is "three hundred forty-eight trillion, eight hundred twenty-nine billion, six hundred thirty-six million, eight hundred forty-four thousand, three hundred four".