3789984000 has 576 divisors, whose sum is σ = 14249394432. Its totient is φ = 884736000.

The previous prime is 3789983993. The next prime is 3789984001. The reversal of 3789984000 is 4899873.

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

It is not an unprimeable number, because it can be changed into a prime (3789984001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39071952 + ... + 39072048.

It is an arithmetic number, because the mean of its divisors is an integer number (24738532).

Almost surely, 2^3789984000 is an apocalyptic number.

3789984000 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 3789984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124697216).

3789984000 is an abundant number, since it is smaller than the sum of its proper divisors (10459410432).

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

3789984000 is a wasteful number, since it uses less digits than its factorization.

3789984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 3789984000 is about 61562.8459381143. The cubic root of 3789984000 is about 1559.1185026503.

It can be divided in two parts, 3789 and 984000, that added together give a palindrome (987789).

The spelling of 3789984000 in words is "three billion, seven hundred eighty-nine million, nine hundred eighty-four thousand".