348328818300 has 144 divisors (see below), whose sum is σ = 1061180691200. Its totient is φ = 87973516800.

The previous prime is 348328818293. The next prime is 348328818307. The reversal of 348328818300 is 3818823843.

It is an interprime number because it is at equal distance from previous prime (348328818293) and next prime (348328818307).

It is a self number, because there is not a number n which added to its sum of digits gives 348328818300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348328818307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 27119880 + ... + 27132720.

Almost surely, 2^348328818300 is an apocalyptic number.

348328818300 is a gapful number since it is divisible by the number (30) 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 348328818300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530590345600).

348328818300 is an abundant number, since it is smaller than the sum of its proper divisors (712851872900).

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

348328818300 is a wasteful number, since it uses less digits than its factorization.

348328818300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17636 (or 17629 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

It can be divided in two parts, 348328 and 818300, that added together give a triangular number (1166628 = T₁₅₂₇).

The spelling of 348328818300 in words is "three hundred forty-eight billion, three hundred twenty-eight million, eight hundred eighteen thousand, three hundred".