3628365408 has 192 divisors, whose sum is σ = 10886400000. Its totient is φ = 1175150592.

The previous prime is 3628365401. The next prime is 3628365443. The reversal of 3628365408 is 8045638263.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628365401) 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 31 ways as a sum of consecutive naturals, for example, 8080768 + ... + 8081216.

It is an arithmetic number, because the mean of its divisors is an integer number (56700000).

Almost surely, 2^3628365408 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 3628365408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200000).

3628365408 is an abundant number, since it is smaller than the sum of its proper divisors (7258034592).

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

3628365408 is a wasteful number, since it uses less digits than its factorization.

3628365408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3628365408 is about 60235.9146025027. The cubic root of 3628365408 is about 1536.6336496959.

The spelling of 3628365408 in words is "three billion, six hundred twenty-eight million, three hundred sixty-five thousand, four hundred eight".