3122226432 has 144 divisors (see below), whose sum is σ = 9943487680. Its totient is φ = 960657408.

The previous prime is 3122226413. The next prime is 3122226461. The reversal of 3122226432 is 2346222213.

It is a happy number.

3122226432 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 226 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 junction number, because it is equal to n+sod(n) for n = 3122226396 and 3122226405.

It is a congruent number.

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, 72483 + ... + 107229.

Almost surely, 2^3122226432 is an apocalyptic number.

3122226432 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 3122226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971743840).

3122226432 is an abundant number, since it is smaller than the sum of its proper divisors (6821261248).

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

3122226432 is a wasteful number, since it uses less digits than its factorization.

3122226432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34785 (or 34765 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3122226432 is about 55876.8863842645. The cubic root of 3122226432 is about 1461.5762097718.

Adding to 3122226432 its reverse (2346222213), we get a palindrome (5468448645).

The spelling of 3122226432 in words is "three billion, one hundred twenty-two million, two hundred twenty-six thousand, four hundred thirty-two".