34043240032 has 48 divisors (see below), whose sum is σ = 68569018560. Its totient is φ = 16630161408.

The previous prime is 34043240017. The next prime is 34043240039. The reversal of 34043240032 is 23004234043.

It is a super-2 number, since 2×34043240032² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34043239979 and 34043240006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34043240039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 848194 + ... + 887422.

It is an arithmetic number, because the mean of its divisors is an integer number (1428521220).

Almost surely, 2^34043240032 is an apocalyptic number.

34043240032 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 34043240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34284509280).

34043240032 is an abundant number, since it is smaller than the sum of its proper divisors (34525778528).

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

34043240032 is a wasteful number, since it uses less digits than its factorization.

34043240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39863 (or 39855 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 34043240032 its reverse (23004234043), we get a palindrome (57047474075).

The spelling of 34043240032 in words is "thirty-four billion, forty-three million, two hundred forty thousand, thirty-two".