34231144032 has 72 divisors (see below), whose sum is σ = 99719114040. Its totient is φ = 11132075520.

The previous prime is 34231143977. The next prime is 34231144063. The reversal of 34231144032 is 23044113243.

34231144032 is a `hidden beast` number, since 342 + 311 + 4 + 4 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×34231144032³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34231143987 and 34231144005.

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 11 ways as a sum of consecutive naturals, for example, 1437682 + ... + 1461297.

It is an arithmetic number, because the mean of its divisors is an integer number (1384987695).

Almost surely, 2^34231144032 is an apocalyptic number.

34231144032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34231144032 is an abundant number, since it is smaller than the sum of its proper divisors (65487970008).

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

34231144032 is a wasteful number, since it uses less digits than its factorization.

34231144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899036 (or 2899025 counting only the distinct ones).

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

Adding to 34231144032 its reverse (23044113243), we get a palindrome (57275257275).

The spelling of 34231144032 in words is "thirty-four billion, two hundred thirty-one million, one hundred forty-four thousand, thirty-two".