34314200300 has 72 divisors (see below), whose sum is σ = 75498042816. Its totient is φ = 13535287360.

The previous prime is 34314200287. The next prime is 34314200311. The reversal of 34314200300 is 300241343.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4868579 + ... + 4875621.

It is an arithmetic number, because the mean of its divisors is an integer number (1048583928).

Almost surely, 2^34314200300 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 34314200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37749021408).

34314200300 is an abundant number, since it is smaller than the sum of its proper divisors (41183842516).

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

34314200300 is a wasteful number, since it uses less digits than its factorization.

34314200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7727 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34314200300 its reverse (300241343), we get a palindrome (34614441643).

The spelling of 34314200300 in words is "thirty-four billion, three hundred fourteen million, two hundred thousand, three hundred".