34200634230100 has 72 divisors (see below), whose sum is σ = 80208680175288. Its totient is φ = 12582987110400.

The previous prime is 34200634230079. The next prime is 34200634230109. The reversal of 34200634230100 is 103243600243.

It can be written as a sum of positive squares in 12 ways, for example, as 21781691731396 + 12418942498704 = 4667086^2 + 3524052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34200634230109) 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, 46446409 + ... + 47177008.

It is an arithmetic number, because the mean of its divisors is an integer number (1114009446879).

Almost surely, 2^{34200634230100} is an apocalyptic number.

It is an amenable number.

34200634230100 is an abundant number, since it is smaller than the sum of its proper divisors (46008045945188).

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

34200634230100 is a wasteful number, since it uses less digits than its factorization.

34200634230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93623725 (or 93623718 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 34200634230100 its reverse (103243600243), we get a palindrome (34303877830343).

The spelling of 34200634230100 in words is "thirty-four trillion, two hundred billion, six hundred thirty-four million, two hundred thirty thousand, one hundred".