3628195200 has 576 divisors, whose sum is σ = 15464077200. Its totient is φ = 828334080.

The previous prime is 3628195183. The next prime is 3628195201. The reversal of 3628195200 is 25918263.

3628195200 is a `hidden beast` number, since 3 + 628 + 1 + 9 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628195201) 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 71 ways as a sum of consecutive naturals, for example, 4233172 + ... + 4234028.

Almost surely, 2^3628195200 is an apocalyptic number.

3628195200 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 3628195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7732038600).

3628195200 is an abundant number, since it is smaller than the sum of its proper divisors (11835882000).

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

3628195200 is a wasteful number, since it uses less digits than its factorization.

3628195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3628195200 is about 60234.5017411118. The cubic root of 3628195200 is about 1536.6096212973.

The spelling of 3628195200 in words is "three billion, six hundred twenty-eight million, one hundred ninety-five thousand, two hundred".