3882806752 has 144 divisors (see below), whose sum is σ = 8787895200. Its totient is φ = 1685376000.

The previous prime is 3882806737. The next prime is 3882806773. The reversal of 3882806752 is 2576082883.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3882806696 and 3882806705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16955374 + ... + 16955602.

It is an arithmetic number, because the mean of its divisors is an integer number (61027050).

Almost surely, 2^3882806752 is an apocalyptic number.

3882806752 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 3882806752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393947600).

3882806752 is an abundant number, since it is smaller than the sum of its proper divisors (4905088448).

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

3882806752 is a wasteful number, since it uses less digits than its factorization.

3882806752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The square root of 3882806752 is about 62312.1717804796. The cubic root of 3882806752 is about 1571.7444134669.

The spelling of 3882806752 in words is "three billion, eight hundred eighty-two million, eight hundred six thousand, seven hundred fifty-two".