3628548 has 162 divisors, whose sum is σ = 12417678. Its totient is φ = 887040.

The previous prime is 3628483. The next prime is 3628561. The reversal of 3628548 is 8458263.

3628548 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3415104 + 213444 = 1848^2 + 462^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

Its product of digits (46080) is a multiple of the sum of its prime divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 213436 + ... + 213452.

Almost surely, 2^3628548 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 3628548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208839).

3628548 is an abundant number, since it is smaller than the sum of its proper divisors (8789130).

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

3628548 is a wasteful number, since it uses less digits than its factorization.

3628548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

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

The square root of 3628548 is about 1904.8747990354. The cubic root of 3628548 is about 153.6659425518.

The spelling of 3628548 in words is "three million, six hundred twenty-eight thousand, five hundred forty-eight".