32334040032 has 144 divisors (see below), whose sum is σ = 99161414352. Its totient is φ = 9198336000.

The previous prime is 32334040009. The next prime is 32334040033. The reversal of 32334040032 is 23004043323.

It is a super-2 number, since 2×32334040032² (a number of 22 digits) contains 22 as substring.

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 = 32334039984 and 32334040011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32334040033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1081282 + ... + 1110782.

It is an arithmetic number, because the mean of its divisors is an integer number (688620933).

Almost surely, 2^32334040032 is an apocalyptic number.

32334040032 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 32334040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49580707176).

32334040032 is an abundant number, since it is smaller than the sum of its proper divisors (66827374320).

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

32334040032 is a wasteful number, since it uses less digits than its factorization.

32334040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29761 (or 29746 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 32334040032 its reverse (23004043323), we get a palindrome (55338083355).

The spelling of 32334040032 in words is "thirty-two billion, three hundred thirty-four million, forty thousand, thirty-two".