345182348820 has 192 divisors, whose sum is σ = 991824777216. Its totient is φ = 89679052800.

The previous prime is 345182348789. The next prime is 345182348821. The reversal of 345182348820 is 28843281543.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 345182348820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345182348821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99848532 + ... + 99851988.

It is an arithmetic number, because the mean of its divisors is an integer number (5165754048).

Almost surely, 2^345182348820 is an apocalyptic number.

345182348820 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 345182348820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495912388608).

345182348820 is an abundant number, since it is smaller than the sum of its proper divisors (646642428396).

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

345182348820 is a wasteful number, since it uses less digits than its factorization.

345182348820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 345182348820 in words is "three hundred forty-five billion, one hundred eighty-two million, three hundred forty-eight thousand, eight hundred twenty".