3788868672 has 168 divisors, whose sum is σ = 11242649600. Its totient is φ = 1219027968.

The previous prime is 3788868653. The next prime is 3788868689. The reversal of 3788868672 is 2768688873.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2961729 + ... + 2963007.

Almost surely, 2^3788868672 is an apocalyptic number.

3788868672 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 3788868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621324800).

3788868672 is an abundant number, since it is smaller than the sum of its proper divisors (7453780928).

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

3788868672 is a wasteful number, since it uses less digits than its factorization.

3788868672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1460 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The square root of 3788868672 is about 61553.7868209585. The cubic root of 3788868672 is about 1558.9655469361.

The spelling of 3788868672 in words is "three billion, seven hundred eighty-eight million, eight hundred sixty-eight thousand, six hundred seventy-two".