3865576000 has 448 divisors, whose sum is σ = 11716024320. Its totient is φ = 1244160000.

The previous prime is 3865575947. The next prime is 3865576007. The reversal of 3865576000 is 6755683.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3865576007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35463946 + ... + 35464054.

It is an arithmetic number, because the mean of its divisors is an integer number (26151840).

Almost surely, 2^3865576000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3865576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5858012160).

3865576000 is an abundant number, since it is smaller than the sum of its proper divisors (7850448320).

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

3865576000 is a wasteful number, since it uses less digits than its factorization.

3865576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 3865576000 is about 62173.7565215421. The cubic root of 3865576000 is about 1569.4159862807.

The spelling of 3865576000 in words is "three billion, eight hundred sixty-five million, five hundred seventy-six thousand".