345020100000 has 288 divisors, whose sum is σ = 1198632157632. Its totient is φ = 86592000000.

The previous prime is 345020099987. The next prime is 345020100001. The reversal of 345020100000 is 1020543.

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

It is not an unprimeable number, because it can be changed into a prime (345020100001) 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 47 ways as a sum of consecutive naturals, for example, 5066175 + ... + 5133825.

It is an arithmetic number, because the mean of its divisors is an integer number (4161917214).

Almost surely, 2^345020100000 is an apocalyptic number.

345020100000 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 345020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599316078816).

345020100000 is an abundant number, since it is smaller than the sum of its proper divisors (853612057632).

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

345020100000 is an equidigital number, since it uses as much as digits as its factorization.

345020100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67706 (or 67678 counting only the distinct ones).

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

Adding to 345020100000 its reverse (1020543), we get a palindrome (345021120543).

The spelling of 345020100000 in words is "three hundred forty-five billion, twenty million, one hundred thousand".