3869184000 has 416 divisors, whose sum is σ = 14106867840. Its totient is φ = 933888000.

The previous prime is 3869183999. The next prime is 3869184013. The reversal of 3869184000 is 4819683.

It is a self number, because there is not a number n which added to its sum of digits gives 3869184000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16895886 + ... + 16896114.

It is an arithmetic number, because the mean of its divisors is an integer number (33910740).

Almost surely, 2^3869184000 is an apocalyptic number.

3869184000 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 3869184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053433920).

3869184000 is an abundant number, since it is smaller than the sum of its proper divisors (10237683840).

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

3869184000 is a wasteful number, since it uses less digits than its factorization.

3869184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 3869184000 is about 62202.7652118457. The cubic root of 3869184000 is about 1569.9041146628.

The spelling of 3869184000 in words is "three billion, eight hundred sixty-nine million, one hundred eighty-four thousand".