34200073215 has 96 divisors (see below), whose sum is σ = 77121248256. Its totient is φ = 13595028480.

The previous prime is 34200073213. The next prime is 34200073223. The reversal of 34200073215 is 51237000243.

It is not a de Polignac number, because 34200073215 - 2¹ = 34200073213 is a prime.

It is a super-2 number, since 2×34200073215² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34200073213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134874 + ... + 294263.

It is an arithmetic number, because the mean of its divisors is an integer number (803346336).

Almost surely, 2^34200073215 is an apocalyptic number.

34200073215 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34200073215 is an abundant number, since it is smaller than the sum of its proper divisors (42921175041).

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

34200073215 is a wasteful number, since it uses less digits than its factorization.

34200073215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429189 (or 429186 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 34200073215 its reverse (51237000243), we get a palindrome (85437073458).

The spelling of 34200073215 in words is "thirty-four billion, two hundred million, seventy-three thousand, two hundred fifteen".