3628440 has 48 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 967488.

The previous prime is 3628439. The next prime is 3628453. The reversal of 3628440 is 448263.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4680 + ... + 5399.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^3628440 is an apocalyptic number.

3628440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3628440 is an abundant number, since it is smaller than the sum of its proper divisors (8165160).

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

3628440 is a wasteful number, since it uses less digits than its factorization.

3628440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10096 (or 10089 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3628440 is about 1904.8464505046. The cubic root of 3628440 is about 153.6644179671.

The spelling of 3628440 in words is "three million, six hundred twenty-eight thousand, four hundred forty".