3628000368 has 100 divisors (see below), whose sum is σ = 10784425080. Its totient is φ = 1176633216.

The previous prime is 3628000367. The next prime is 3628000393. The reversal of 3628000368 is 8630008263.

3628000368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628000367) 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, 10123 + ... + 85781.

Almost surely, 2^3628000368 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 3628000368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392212540).

3628000368 is an abundant number, since it is smaller than the sum of its proper divisors (7156424712).

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

3628000368 is a wasteful number, since it uses less digits than its factorization.

3628000368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75716 (or 75701 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3628000368 is about 60232.8844403122. The cubic root of 3628000368 is about 1536.5821157867.

The spelling of 3628000368 in words is "three billion, six hundred twenty-eight million, three hundred sixty-eight", and thus it is an aban number.