34340200224 has 48 divisors (see below), whose sum is σ = 98337849120. Its totient is φ = 10406120960.

The previous prime is 34340200207. The next prime is 34340200247. The reversal of 34340200224 is 42200204343.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34340200194 and 34340200203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16258509 + ... + 16260620.

It is an arithmetic number, because the mean of its divisors is an integer number (2048705190).

Almost surely, 2^34340200224 is an apocalyptic number.

It is an amenable number.

34340200224 is an abundant number, since it is smaller than the sum of its proper divisors (63997648896).

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

34340200224 is a wasteful number, since it uses less digits than its factorization.

34340200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32519153 (or 32519145 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 34340200224 its reverse (42200204343), we get a palindrome (76540404567).

The spelling of 34340200224 in words is "thirty-four billion, three hundred forty million, two hundred thousand, two hundred twenty-four".