3983249600 has 168 divisors, whose sum is σ = 11322119088. Its totient is φ = 1363148800.

The previous prime is 3983249593. The next prime is 3983249639. The reversal of 3983249600 is 69423893.

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

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, 292544 + ... + 305856.

It is an arithmetic number, because the mean of its divisors is an integer number (67393566).

Almost surely, 2^3983249600 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 3983249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661059544).

3983249600 is an abundant number, since it is smaller than the sum of its proper divisors (7338869488).

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

3983249600 is a wasteful number, since it uses less digits than its factorization.

3983249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13363 (or 13348 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The square root of 3983249600 is about 63112.9907388328. The cubic root of 3983249600 is about 1585.1821515757.

The spelling of 3983249600 in words is "three billion, nine hundred eighty-three million, two hundred forty-nine thousand, six hundred".