3825664 has 28 divisors (see below), whose sum is σ = 7667244. Its totient is φ = 1908736.

The previous prime is 3825649. The next prime is 3825671. The reversal of 3825664 is 4665283.

It is a happy number.

It is a d-powerful number, because it can be written as 3¹³ + 8 + 2⁹ + 5⁹ + 6⁵ + 6⁵ + 4⁹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7959 + ... + 8425.

Almost surely, 2^3825664 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 3825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833622).

3825664 is an abundant number, since it is smaller than the sum of its proper divisors (3841580).

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

3825664 is an frugal number, since it uses more digits than its factorization.

3825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 469 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 3825664 is about 1955.9304691118. The cubic root of 3825664 is about 156.3995892219.

It can be divided in two parts, 3825 and 664, that added together give a square (4489 = 67²).

The spelling of 3825664 in words is "three million, eight hundred twenty-five thousand, six hundred sixty-four".