3827088 has 50 divisors (see below), whose sum is σ = 11080454. Its totient is φ = 1275264.

The previous prime is 3827071. The next prime is 3827093. The reversal of 3827088 is 8807283.

It can be written as a sum of positive squares in only one way, i.e., 3640464 + 186624 = 1908^2 + 432^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 181 + ... + 2772.

Almost surely, 2^3827088 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 3827088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540227).

3827088 is an abundant number, since it is smaller than the sum of its proper divisors (7253366).

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

3827088 is a wasteful number, since it uses less digits than its factorization.

3827088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3827088 is about 1956.2944563639. The cubic root of 3827088 is about 156.4189919877.

The spelling of 3827088 in words is "three million, eight hundred twenty-seven thousand, eighty-eight".