34232324040 has 384 divisors, whose sum is σ = 122340741120. Its totient is φ = 8266752000.

The previous prime is 34232323963. The next prime is 34232324041. The reversal of 34232324040 is 4042323243.

34232324040 is a `hidden beast` number, since 3 + 4 + 23 + 232 + 404 + 0 = 666.

It is a super-6 number, since 6×34232324040⁶ (a number of 64 digits) contains 666666 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34232323995 and 34232324013.

It is not an unprimeable number, because it can be changed into a prime (34232324041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17545065 + ... + 17547015.

It is an arithmetic number, because the mean of its divisors is an integer number (318595680).

Almost surely, 2^34232324040 is an apocalyptic number.

34232324040 is a gapful number since it is divisible by the number (30) 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 34232324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61170370560).

34232324040 is an abundant number, since it is smaller than the sum of its proper divisors (88108417080).

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

34232324040 is a wasteful number, since it uses less digits than its factorization.

34232324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 34232324040 its reverse (4042323243), we get a palindrome (38274647283).

The spelling of 34232324040 in words is "thirty-four billion, two hundred thirty-two million, three hundred twenty-four thousand, forty".