3983572736 has 288 divisors, whose sum is σ = 10217285568. Its totient is φ = 1521745920.

The previous prime is 3983572727. The next prime is 3983572739. The reversal of 3983572736 is 6372753893.

3983572736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3983572739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23026346 + ... + 23026518.

It is an arithmetic number, because the mean of its divisors is an integer number (35476686).

Almost surely, 2^3983572736 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 3983572736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108642784).

3983572736 is an abundant number, since it is smaller than the sum of its proper divisors (6233712832).

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

3983572736 is a wasteful number, since it uses less digits than its factorization.

3983572736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 53.

The square root of 3983572736 is about 63115.5506670107. The cubic root of 3983572736 is about 1585.2250157043.

The spelling of 3983572736 in words is "three billion, nine hundred eighty-three million, five hundred seventy-two thousand, seven hundred thirty-six".