3983425600 has 504 divisors, whose sum is σ = 12925958400. Its totient is φ = 1193472000.

The previous prime is 3983425583. The next prime is 3983425603. The reversal of 3983425600 is 65243893.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3983425603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26734326 + ... + 26734474.

Almost surely, 2^3983425600 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 3983425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462979200).

3983425600 is an abundant number, since it is smaller than the sum of its proper divisors (8942532800).

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

3983425600 is a wasteful number, since it uses less digits than its factorization.

3983425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 3983425600 is about 63114.3850481014. The cubic root of 3983425600 is about 1585.2054983384.

The spelling of 3983425600 in words is "three billion, nine hundred eighty-three million, four hundred twenty-five thousand, six hundred".