3865024000 has 160 divisors (see below), whose sum is σ = 9732314592. Its totient is φ = 1530880000.

The previous prime is 3865023977. The next prime is 3865024013. The reversal of 3865024000 is 4205683.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 3865024000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8383770 + ... + 8384230.

Almost surely, 2^3865024000 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 3865024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866157296).

3865024000 is an abundant number, since it is smaller than the sum of its proper divisors (5867290592).

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

3865024000 is an equidigital number, since it uses as much as digits as its factorization.

3865024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 3865024000 is about 62169.3171910389. The cubic root of 3865024000 is about 1569.3412790992.

Adding to 3865024000 its reverse (4205683), we get a palindrome (3869229683).

The spelling of 3865024000 in words is "three billion, eight hundred sixty-five million, twenty-four thousand".