345010200000 has 336 divisors, whose sum is σ = 1171888931808. Its totient is φ = 89510400000.

The previous prime is 345010199983. The next prime is 345010200023. The reversal of 345010200000 is 2010543.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22192230 + ... + 22207770.

It is an arithmetic number, because the mean of its divisors is an integer number (3487764678).

Almost surely, 2^345010200000 is an apocalyptic number.

345010200000 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 345010200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585944465904).

345010200000 is an abundant number, since it is smaller than the sum of its proper divisors (826878731808).

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

345010200000 is an equidigital number, since it uses as much as digits as its factorization.

345010200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15618 (or 15588 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 345010200000 its reverse (2010543), we get a palindrome (345012210543).

The spelling of 345010200000 in words is "three hundred forty-five billion, ten million, two hundred thousand".