3865869504 has 588 divisors, whose sum is σ = 14242008600. Its totient is φ = 1034643456.

The previous prime is 3865869499. The next prime is 3865869577. The reversal of 3865869504 is 4059685683.

It is a happy number.

3865869504 is a `hidden beast` number, since 3 + 8 + 6 + 586 + 9 + 50 + 4 = 666.

3865869504 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 (588).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 43436692 + ... + 43436780.

Almost surely, 2^3865869504 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 3865869504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7121004300).

3865869504 is an abundant number, since it is smaller than the sum of its proper divisors (10376139096).

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

3865869504 is an equidigital number, since it uses as much as digits as its factorization.

3865869504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 3865869504 is about 62176.1168295351. The cubic root of 3865869504 is about 1569.4557059509.

The spelling of 3865869504 in words is "three billion, eight hundred sixty-five million, eight hundred sixty-nine thousand, five hundred four".