3865632 has 48 divisors (see below), whose sum is σ = 10315872. Its totient is φ = 1267200.

The previous prime is 3865601. The next prime is 3865637. The reversal of 3865632 is 2365683.

3865632 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 (48).

It is a super-2 number, since 2×3865632² = 29886221518848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3865593 and 3865602.

It is not an unprimeable number, because it can be changed into a prime (3865637) 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, 6132 + ... + 6732.

It is an arithmetic number, because the mean of its divisors is an integer number (214914).

Almost surely, 2^3865632 is an apocalyptic number.

3865632 is a gapful number since it is divisible by the number (32) 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 3865632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157936).

3865632 is an abundant number, since it is smaller than the sum of its proper divisors (6450240).

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

3865632 is a wasteful number, since it uses less digits than its factorization.

3865632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 673 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 3865632 is about 1966.1210542589. The cubic root of 3865632 is about 156.9423564873.

The spelling of 3865632 in words is "three million, eight hundred sixty-five thousand, six hundred thirty-two".