34124231232 has 336 divisors, whose sum is σ = 124155281280. Its totient is φ = 8999258112.

The previous prime is 34124231213. The next prime is 34124231237. The reversal of 34124231232 is 23213242143.

34124231232 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 423 + 1 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 junction number, because it is equal to n+sod(n) for n = 34124231196 and 34124231205.

It is not an unprimeable number, because it can be changed into a prime (34124231237) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2035878 + ... + 2052570.

Almost surely, 2^34124231232 is an apocalyptic number.

34124231232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34124231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62077640640).

34124231232 is an abundant number, since it is smaller than the sum of its proper divisors (90031050048).

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

34124231232 is a wasteful number, since it uses less digits than its factorization.

34124231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16747 (or 16718 counting only the distinct ones).

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

Adding to 34124231232 its reverse (23213242143), we get a palindrome (57337473375).

It can be divided in two parts, 34124 and 231232, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 34124231232 in words is "thirty-four billion, one hundred twenty-four million, two hundred thirty-one thousand, two hundred thirty-two".