3983243264 has 384 divisors, whose sum is σ = 11227507200. Its totient is φ = 1362493440.

The previous prime is 3983243263. The next prime is 3983243269. The reversal of 3983243264 is 4623423893.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3983243263) 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, 59451359 + ... + 59451425.

It is an arithmetic number, because the mean of its divisors is an integer number (29238300).

Almost surely, 2^3983243264 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 3983243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613753600).

3983243264 is an abundant number, since it is smaller than the sum of its proper divisors (7244263936).

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

3983243264 is a wasteful number, since it uses less digits than its factorization.

3983243264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its digits is 746496, while the sum is 44.

The square root of 3983243264 is about 63112.9405431248. The cubic root of 3983243264 is about 1585.1813110794.

The spelling of 3983243264 in words is "three billion, nine hundred eighty-three million, two hundred forty-three thousand, two hundred sixty-four".