3165636672 has 336 divisors, whose sum is σ = 10407481344. Its totient is φ = 911232000.

The previous prime is 3165636647. The next prime is 3165636673. The reversal of 3165636672 is 2766365613.

3165636672 is a `hidden beast` number, since 3 + 1 + 6 + 5 + 636 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×3165636672² = 20042511078222471168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3165636673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13945423 + ... + 13945649.

Almost surely, 2^3165636672 is an apocalyptic number.

3165636672 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 3165636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203740672).

3165636672 is an abundant number, since it is smaller than the sum of its proper divisors (7241844672).

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

3165636672 is a wasteful number, since it uses less digits than its factorization.

3165636672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 345 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 3165636672 is about 56263.9909000419. The cubic root of 3165636672 is about 1468.3187887784.

The spelling of 3165636672 in words is "three billion, one hundred sixty-five million, six hundred thirty-six thousand, six hundred seventy-two".