3933987648 has 112 divisors (see below), whose sum is σ = 10582656000. Its totient is φ = 1289553408.

The previous prime is 3933987641. The next prime is 3933987683. The reversal of 3933987648 is 8467893393.

It is a junction number, because it is equal to n+sod(n) for n = 3933987591 and 3933987600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3933987641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6355083 + ... + 6355701.

It is an arithmetic number, because the mean of its divisors is an integer number (94488000).

Almost surely, 2^3933987648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3933987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291328000).

3933987648 is an abundant number, since it is smaller than the sum of its proper divisors (6648668352).

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

3933987648 is a wasteful number, since it uses less digits than its factorization.

3933987648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1122 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 60.

The square root of 3933987648 is about 62721.5086553249. The cubic root of 3933987648 is about 1578.6202300352.

The spelling of 3933987648 in words is "three billion, nine hundred thirty-three million, nine hundred eighty-seven thousand, six hundred forty-eight".