3628141200 has 240 divisors, whose sum is σ = 13593921600. Its totient is φ = 916531200.

The previous prime is 3628141183. The next prime is 3628141201. The reversal of 3628141200 is 21418263.

3628141200 is a `hidden beast` number, since 3 + 628 + 14 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (3628141201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196360 + ... + 214040.

It is an arithmetic number, because the mean of its divisors is an integer number (56641340).

Almost surely, 2^3628141200 is an apocalyptic number.

3628141200 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 3628141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796960800).

3628141200 is an abundant number, since it is smaller than the sum of its proper divisors (9965780400).

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

3628141200 is a wasteful number, since it uses less digits than its factorization.

3628141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17727 (or 17710 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3628141200 is about 60234.0534913599. The cubic root of 3628141200 is about 1536.6019979174.

Adding to 3628141200 its reverse (21418263), we get a palindrome (3649559463).

The spelling of 3628141200 in words is "three billion, six hundred twenty-eight million, one hundred forty-one thousand, two hundred".