34123132224 has 112 divisors (see below), whose sum is σ = 106216704000. Its totient is φ = 10705287168.

The previous prime is 34123132217. The next prime is 34123132243. The reversal of 34123132224 is 42223132143.

34123132224 is a `hidden beast` number, since 341 + 2 + 313 + 2 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551424 + ... + 610175.

Almost surely, 2^34123132224 is an apocalyptic number.

34123132224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34123132224 is an abundant number, since it is smaller than the sum of its proper divisors (72093571776).

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

34123132224 is a wasteful number, since it uses less digits than its factorization.

34123132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161637 (or 1161621 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 34123132224 its reverse (42223132143), we get a palindrome (76346264367).

The spelling of 34123132224 in words is "thirty-four billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred twenty-four".