3628597 has 16 divisors (see below), whose sum is σ = 4320000. Its totient is φ = 3045840.

The previous prime is 3628591. The next prime is 3628621. The reversal of 3628597 is 7958263.

It is a de Polignac number, because none of the positive numbers 2^k-3628597 is a prime.

It is a super-4 number, since 4×3628597⁴ (a number of 27 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is an Ulam number.

It is a Duffinian number.

3628597 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24279 + ... + 24427.

It is an arithmetic number, because the mean of its divisors is an integer number (270000).

Almost surely, 2^3628597 is an apocalyptic number.

It is an amenable number.

3628597 is a deficient number, since it is larger than the sum of its proper divisors (691403).

3628597 is an equidigital number, since it uses as much as digits as its factorization.

3628597 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 3628597 is about 1904.8876607296. The cubic root of 3628597 is about 153.6666342516. Note that the first 4 decimals are identical.

It can be divided in two parts, 3628 and 597, that added together give a square (4225 = 65²).

The spelling of 3628597 in words is "three million, six hundred twenty-eight thousand, five hundred ninety-seven".