3983936400 has 360 divisors, whose sum is σ = 15187090464. Its totient is φ = 999475200.

The previous prime is 3983936389. The next prime is 3983936401. The reversal of 3983936400 is 46393893.

3983936400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3983936401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1651195 + ... + 1653605.

Almost surely, 2^3983936400 is an apocalyptic number.

3983936400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3983936400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593545232).

3983936400 is an abundant number, since it is smaller than the sum of its proper divisors (11203154064).

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

3983936400 is a wasteful number, since it uses less digits than its factorization.

3983936400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3983936400 is about 63118.4315394481. The cubic root of 3983936400 is about 1585.2732531172.

The spelling of 3983936400 in words is "three billion, nine hundred eighty-three million, nine hundred thirty-six thousand, four hundred".