34201125300 has 72 divisors (see below), whose sum is σ = 104776168896. Its totient is φ = 8583810560.

The previous prime is 34201125271. The next prime is 34201125307. The reversal of 34201125300 is 352110243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34201125307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3347952 + ... + 3358151.

It is an arithmetic number, because the mean of its divisors is an integer number (1455224568).

Almost surely, 2^34201125300 is an apocalyptic number.

34201125300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34201125300 is an abundant number, since it is smaller than the sum of its proper divisors (70575043596).

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

34201125300 is a wasteful number, since it uses less digits than its factorization.

34201125300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6706137 (or 6706130 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 34201125300 its reverse (352110243), we get a palindrome (34553235543).

The spelling of 34201125300 in words is "thirty-four billion, two hundred one million, one hundred twenty-five thousand, three hundred".