34122477312 has 1080 divisors, whose sum is σ = 133982335872. Its totient is φ = 8534937600.

The previous prime is 34122477289. The next prime is 34122477353. The reversal of 34122477312 is 21377422143.

34122477312 is a `hidden beast` number, since 34 + 122 + 477 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 480598237 + ... + 480598307.

Almost surely, 2^34122477312 is an apocalyptic number.

34122477312 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 34122477312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66991167936).

34122477312 is an abundant number, since it is smaller than the sum of its proper divisors (99859858560).

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

34122477312 is a wasteful number, since it uses less digits than its factorization.

34122477312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

Adding to 34122477312 its reverse (21377422143), we get a palindrome (55499899455).

The spelling of 34122477312 in words is "thirty-four billion, one hundred twenty-two million, four hundred seventy-seven thousand, three hundred twelve".