3628548000 has 1296 divisors, whose sum is σ = 17434419912. Its totient is φ = 709632000.

The previous prime is 3628547999. The next prime is 3628548013. The reversal of 3628548000 is 8458263.

3628548000 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 4 ways, for example, as 1578631824 + 2049916176 = 39732^2 + 45276^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 213443992 + ... + 213444008.

Almost surely, 2^3628548000 is an apocalyptic number.

3628548000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3628548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8717209956).

3628548000 is an abundant number, since it is smaller than the sum of its proper divisors (13805871912).

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

3628548000 is a wasteful number, since it uses less digits than its factorization.

3628548000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 45 counting only the distinct ones).

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

The square root of 3628548000 is about 60237.4302240725. The cubic root of 3628548000 is about 1536.6594255181.

The spelling of 3628548000 in words is "three billion, six hundred twenty-eight million, five hundred forty-eight thousand".