34122412032 has 208 divisors, whose sum is σ = 94372115040. Its totient is φ = 10957619200.

The previous prime is 34122412021. The next prime is 34122412043. The reversal of 34122412032 is 23021422143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34122412021) and next prime (34122412043).

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 = 34122411993 and 34122412011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44838532 + ... + 44839292.

Almost surely, 2^34122412032 is an apocalyptic number.

34122412032 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 34122412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47186057520).

34122412032 is an abundant number, since it is smaller than the sum of its proper divisors (60249703008).

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

34122412032 is an equidigital number, since it uses as much as digits as its factorization.

34122412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34122412032 its reverse (23021422143), we get a palindrome (57143834175).

The spelling of 34122412032 in words is "thirty-four billion, one hundred twenty-two million, four hundred twelve thousand, thirty-two".