3852003600 has 300 divisors, whose sum is σ = 14058372900. Its totient is φ = 1009843200.

The previous prime is 3852003559. The next prime is 3852003607. The reversal of 3852003600 is 63002583.

3852003600 is a `hidden beast` number, since 3 + 8 + 52 + 0 + 0 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 293642496 + 3558361104 = 17136^2 + 59652^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3852003607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1975426 + ... + 1977374.

It is an arithmetic number, because the mean of its divisors is an integer number (46861243).

Almost surely, 2^3852003600 is an apocalyptic number.

3852003600 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 3852003600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029186450).

3852003600 is an abundant number, since it is smaller than the sum of its proper divisors (10206369300).

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

3852003600 is a wasteful number, since it uses less digits than its factorization.

3852003600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3852003600 is about 62064.5115988195. The cubic root of 3852003600 is about 1567.5770434420.

The spelling of 3852003600 in words is "three billion, eight hundred fifty-two million, three thousand, six hundred".