3122842632 has 128 divisors (see below), whose sum is σ = 9652608000. Its totient is φ = 819848448.

The previous prime is 3122842607. The next prime is 3122842633. The reversal of 3122842632 is 2362482213.

It is a super-2 number, since 2×3122842632² = 19504292208473374848, which contains 22 as substring.

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 = 3122842593 and 3122842602.

It is not an unprimeable number, because it can be changed into a prime (3122842633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492619 + ... + 498917.

It is an arithmetic number, because the mean of its divisors is an integer number (75411000).

Almost surely, 2^3122842632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122842632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826304000).

3122842632 is an abundant number, since it is smaller than the sum of its proper divisors (6529765368).

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

3122842632 is a wasteful number, since it uses less digits than its factorization.

3122842632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6555 (or 6551 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 3122842632 is about 55882.4000200421. The cubic root of 3122842632 is about 1461.6723552669.

The spelling of 3122842632 in words is "three billion, one hundred twenty-two million, eight hundred forty-two thousand, six hundred thirty-two".