3688128 has 84 divisors (see below), whose sum is σ = 11160760. Its totient is φ = 1161216.

The previous prime is 3688127. The next prime is 3688129. The reversal of 3688128 is 8218863.

It is an interprime number because it is at equal distance from previous prime (3688127) and next prime (3688129).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3688092 and 3688101.

It is not an unprimeable number, because it can be changed into a prime (3688127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10776 + ... + 11112.

Almost surely, 2^3688128 is an apocalyptic number.

3688128 is a gapful number since it is divisible by the number (38) 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 3688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580380).

3688128 is an abundant number, since it is smaller than the sum of its proper divisors (7472632).

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

3688128 is a wasteful number, since it uses less digits than its factorization.

3688128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 361 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 3688128 is about 1920.4499472780. The cubic root of 3688128 is about 154.5024350011.

The spelling of 3688128 in words is "three million, six hundred eighty-eight thousand, one hundred twenty-eight".