3884300640 has 288 divisors, whose sum is σ = 14815356192. Its totient is φ = 918528000.

The previous prime is 3884300627. The next prime is 3884300647. The reversal of 3884300640 is 460034883.

3884300640 is a `hidden beast` number, since 3 + 8 + 8 + 4 + 3 + 0 + 0 + 640 = 666.

3884300640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 3884300595 and 3884300604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3884300647) 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, 646450 + ... + 652430.

It is an arithmetic number, because the mean of its divisors is an integer number (51442209).

Almost surely, 2^3884300640 is an apocalyptic number.

3884300640 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 3884300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7407678096).

3884300640 is an abundant number, since it is smaller than the sum of its proper divisors (10931055552).

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

3884300640 is a wasteful number, since it uses less digits than its factorization.

3884300640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6054 (or 6043 counting only the distinct ones).

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

The square root of 3884300640 is about 62324.1577560419. The cubic root of 3884300640 is about 1571.9459608874.

The spelling of 3884300640 in words is "three billion, eight hundred eighty-four million, three hundred thousand, six hundred forty".