3628851800 has 144 divisors (see below), whose sum is σ = 10331649000. Its totient is φ = 1178634240.

The previous prime is 3628851799. The next prime is 3628851803. The reversal of 3628851800 is 81588263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628851803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 176456 + ... + 195944.

Almost surely, 2^3628851800 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 3628851800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165824500).

3628851800 is an abundant number, since it is smaller than the sum of its proper divisors (6702797200).

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

3628851800 is a wasteful number, since it uses less digits than its factorization.

3628851800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19538 (or 19522 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 3628851800 is about 60239.9518592105. The cubic root of 3628851800 is about 1536.7023098991.

It can be divided in two parts, 36288 and 51800, that added together give a palindrome (88088).

The spelling of 3628851800 in words is "three billion, six hundred twenty-eight million, eight hundred fifty-one thousand, eight hundred".