3846528 has 160 divisors (see below), whose sum is σ = 13329360. Its totient is φ = 1078272.

The previous prime is 3846523. The next prime is 3846529. The reversal of 3846528 is 8256483.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 3 + 8⁵ + 4⁶ + 6⁸ + 5³ + 2²¹ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 3846492 and 3846501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3846523) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72550 + ... + 72602.

Almost surely, 2^3846528 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 3846528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664680).

3846528 is an abundant number, since it is smaller than the sum of its proper divisors (9482832).

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

3846528 is an equidigital number, since it uses as much as digits as its factorization.

3846528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3846528 is about 1961.2567399502. The cubic root of 3846528 is about 156.6833924098.

The spelling of 3846528 in words is "three million, eight hundred forty-six thousand, five hundred twenty-eight".