3827664 has 60 divisors (see below), whose sum is σ = 11284000. Its totient is φ = 1207872.

The previous prime is 3827657. The next prime is 3827671. The reversal of 3827664 is 4667283.

It is an interprime number because it is at equal distance from previous prime (3827657) and next prime (3827671).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3⁴ + 8⁵ + 2²¹ + 7⁵ + 6³ + 6⁸ + 4⁵ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2037 + ... + 3435.

Almost surely, 2^3827664 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 3827664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642000).

3827664 is an abundant number, since it is smaller than the sum of its proper divisors (7456336).

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

3827664 is a wasteful number, since it uses less digits than its factorization.

3827664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1423 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3827664 is about 1956.4416679267. The cubic root of 3827664 is about 156.4268389303.

The spelling of 3827664 in words is "three million, eight hundred twenty-seven thousand, six hundred sixty-four".