3628632 has 32 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 1036704.

The previous prime is 3628631. The next prime is 3628657. The reversal of 3628632 is 2368263.

It is a super-3 number, since 3×3628632³ (a number of 21 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3628632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10632 + ... + 10967.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 2^3628632 is an apocalyptic number.

It is an amenable number.

3628632 is an abundant number, since it is smaller than the sum of its proper divisors (6739368).

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

3628632 is a wasteful number, since it uses less digits than its factorization.

3628632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21615 (or 21611 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 3628632 is about 1904.8968476009. The cubic root of 3628632 is about 153.6671283190.

The spelling of 3628632 in words is "three million, six hundred twenty-eight thousand, six hundred thirty-two".