3983876400 has 240 divisors, whose sum is σ = 14883968000. Its totient is φ = 910506240.

The previous prime is 3983876399. The next prime is 3983876401. The reversal of 3983876400 is 46783893.

It is an interprime number because it is at equal distance from previous prime (3983876399) and next prime (3983876401).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3983876400.

It is not an unprimeable number, because it can be changed into a prime (3983876401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406761 + ... + 416439.

Almost surely, 2^3983876400 is an apocalyptic number.

3983876400 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 3983876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441984000).

3983876400 is an abundant number, since it is smaller than the sum of its proper divisors (10900091600).

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

3983876400 is a wasteful number, since it uses less digits than its factorization.

3983876400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9721 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3983876400 is about 63117.9562406769. The cubic root of 3983876400 is about 1585.2652947511.

The spelling of 3983876400 in words is "three billion, nine hundred eighty-three million, eight hundred seventy-six thousand, four hundred".