34413234432 has 144 divisors (see below), whose sum is σ = 96188023680. Its totient is φ = 10901569536.

The previous prime is 34413234431. The next prime is 34413234439. The reversal of 34413234432 is 23443231443.

It is a happy number.

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 = 34413234393 and 34413234402.

It is not an unprimeable number, because it can be changed into a prime (34413234431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2767044 + ... + 2779452.

Almost surely, 2^34413234432 is an apocalyptic number.

34413234432 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 34413234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48094011840).

34413234432 is an abundant number, since it is smaller than the sum of its proper divisors (61774789248).

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

34413234432 is a wasteful number, since it uses less digits than its factorization.

34413234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12608 (or 12594 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

Adding to 34413234432 its reverse (23443231443), we get a palindrome (57856465875).

The spelling of 34413234432 in words is "thirty-four billion, four hundred thirteen million, two hundred thirty-four thousand, four hundred thirty-two".