3865233408 has 96 divisors (see below), whose sum is σ = 10331455680. Its totient is φ = 1285079040.

The previous prime is 3865233401. The next prime is 3865233409. The reversal of 3865233408 is 8043325683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3865233408.

It is not an unprimeable number, because it can be changed into a prime (3865233401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3876366 + ... + 3877362.

It is an arithmetic number, because the mean of its divisors is an integer number (107619330).

Almost surely, 2^3865233408 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 3865233408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165727840).

3865233408 is an abundant number, since it is smaller than the sum of its proper divisors (6466222272).

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

3865233408 is an equidigital number, since it uses as much as digits as its factorization.

3865233408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 3865233408 is about 62171.0013430699. The cubic root of 3865233408 is about 1569.3696210261.

The spelling of 3865233408 in words is "three billion, eight hundred sixty-five million, two hundred thirty-three thousand, four hundred eight".