3846636672 has 64 divisors (see below), whose sum is σ = 10262872800. Its totient is φ = 1276534784.

The previous prime is 3846636671. The next prime is 3846636683. The reversal of 3846636672 is 2766366483.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3846636672² = 29593227372750471168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3846636671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65104 + ... + 109232.

Almost surely, 2^3846636672 is an apocalyptic number.

3846636672 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 3846636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131436400).

3846636672 is an abundant number, since it is smaller than the sum of its proper divisors (6416236128).

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

3846636672 is a wasteful number, since it uses less digits than its factorization.

3846636672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44373 (or 44361 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 51.

The square root of 3846636672 is about 62021.2598388649. The cubic root of 3846636672 is about 1566.8486793412.

The spelling of 3846636672 in words is "three billion, eight hundred forty-six million, six hundred thirty-six thousand, six hundred seventy-two".