3886444800 has 1134 divisors, whose sum is σ = 17764382538. Its totient is φ = 836075520.

The previous prime is 3886444769. The next prime is 3886444801. The reversal of 3886444800 is 84446883.

It can be written as a sum of positive squares in 3 ways, for example, as 585252864 + 3301191936 = 24192^2 + 57456^2 .

It is a tau number, because it is divible by the number of its divisors (1134).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3886444801) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 228614392 + ... + 228614408.

Almost surely, 2^3886444800 is an apocalyptic number.

3886444800 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 3886444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8882191269).

3886444800 is an abundant number, since it is smaller than the sum of its proper divisors (13877937738).

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

3886444800 is an equidigital number, since it uses as much as digits as its factorization.

3886444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3886444800 is about 62341.3570593390. The cubic root of 3886444800 is about 1572.2351492530.

The spelling of 3886444800 in words is "three billion, eight hundred eighty-six million, four hundred forty-four thousand, eight hundred".