3983372800 has 240 divisors, whose sum is σ = 11340568800. Its totient is φ = 1371340800.

The previous prime is 3983372779. The next prime is 3983372821. The reversal of 3983372800 is 82733893.

It is an interprime number because it is at equal distance from previous prime (3983372779) and next prime (3983372821).

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, 2674456 + ... + 2675944.

It is an arithmetic number, because the mean of its divisors is an integer number (47252370).

Almost surely, 2^3983372800 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 3983372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670284400).

3983372800 is an abundant number, since it is smaller than the sum of its proper divisors (7357196000).

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

3983372800 is a wasteful number, since it uses less digits than its factorization.

3983372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 3983372800 is about 63113.9667585551. The cubic root of 3983372800 is about 1585.1984943818.

The spelling of 3983372800 in words is "three billion, nine hundred eighty-three million, three hundred seventy-two thousand, eight hundred".