3166638336 has 108 divisors (see below), whose sum is σ = 9342821488. Its totient is φ = 1030966272.

The previous prime is 3166638281. The next prime is 3166638337. The reversal of 3166638336 is 6338366613.

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 = 3166638291 and 3166638300.

It is not an unprimeable number, because it can be changed into a prime (3166638337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83091 + ... + 115053.

Almost surely, 2^3166638336 is an apocalyptic number.

3166638336 is a gapful number since it is divisible by the number (36) 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 3166638336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671410744).

3166638336 is an abundant number, since it is smaller than the sum of its proper divisors (6176183152).

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

3166638336 is a wasteful number, since it uses less digits than its factorization.

3166638336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32028 (or 32011 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 3166638336 is about 56272.8916619717. The cubic root of 3166638336 is about 1468.4736398796.

The spelling of 3166638336 in words is "three billion, one hundred sixty-six million, six hundred thirty-eight thousand, three hundred thirty-six".