3416822232 has 128 divisors (see below), whose sum is σ = 9114716160. Its totient is φ = 1065692160.

The previous prime is 3416822221. The next prime is 3416822261. The reversal of 3416822232 is 2322286143.

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 = 3416822193 and 3416822202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2877943 + ... + 2879129.

It is an arithmetic number, because the mean of its divisors is an integer number (71208720).

Almost surely, 2^3416822232 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 3416822232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557358080).

3416822232 is an abundant number, since it is smaller than the sum of its proper divisors (5697893928).

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

3416822232 is a wasteful number, since it uses less digits than its factorization.

3416822232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1349 counting only the distinct ones).

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

The square root of 3416822232 is about 58453.5904115393. The cubic root of 3416822232 is about 1506.1704682972.

The spelling of 3416822232 in words is "three billion, four hundred sixteen million, eight hundred twenty-two thousand, two hundred thirty-two".