3881433600 has 480 divisors, whose sum is σ = 15557129280. Its totient is φ = 940032000.

The previous prime is 3881433593. The next prime is 3881433623. The reversal of 3881433600 is 63341883.

It is a happy number.

3881433600 is a `hidden beast` number, since 3 + 8 + 8 + 1 + 43 + 3 + 600 = 666.

3881433600 is digitally balanced in base 2 and base 4, because in such bases 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 (480).

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

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, 3801090 + ... + 3802110.

It is an arithmetic number, because the mean of its divisors is an integer number (32410686).

Almost surely, 2^3881433600 is an apocalyptic number.

3881433600 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 3881433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7778564640).

3881433600 is an abundant number, since it is smaller than the sum of its proper divisors (11675695680).

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

3881433600 is a wasteful number, since it uses less digits than its factorization.

3881433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3881433600 is about 62301.1524773017. The cubic root of 3881433600 is about 1571.5591095023.

The spelling of 3881433600 in words is "three billion, eight hundred eighty-one million, four hundred thirty-three thousand, six hundred".