3628586920 has 128 divisors (see below), whose sum is σ = 9681638400. Its totient is φ = 1198080000.

The previous prime is 3628586917. The next prime is 3628586933. The reversal of 3628586920 is 296858263.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 904920 + ... + 908920.

It is an arithmetic number, because the mean of its divisors is an integer number (75637800).

Almost surely, 2^3628586920 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 3628586920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840819200).

3628586920 is an abundant number, since it is smaller than the sum of its proper divisors (6053051480).

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

3628586920 is a wasteful number, since it uses less digits than its factorization.

3628586920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 3628586920 is about 60237.7532781561. The cubic root of 3628586920 is about 1536.6649195955.

The spelling of 3628586920 in words is "three billion, six hundred twenty-eight million, five hundred eighty-six thousand, nine hundred twenty".