3684384000 has 432 divisors, whose sum is σ = 14475150144. Its totient is φ = 892416000.

The previous prime is 3684383999. The next prime is 3684384013. The reversal of 3684384000 is 4834863.

3684384000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3167419 + ... + 3168581.

It is an arithmetic number, because the mean of its divisors is an integer number (33507292).

Almost surely, 2^3684384000 is an apocalyptic number.

3684384000 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 3684384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7237575072).

3684384000 is an abundant number, since it is smaller than the sum of its proper divisors (10790766144).

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

3684384000 is a wasteful number, since it uses less digits than its factorization.

3684384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3684384000 is about 60699.1268470972. The cubic root of 3684384000 is about 1544.5013629494.

The spelling of 3684384000 in words is "three billion, six hundred eighty-four million, three hundred eighty-four thousand".