3812605200 has 150 divisors (see below), whose sum is σ = 13683250394. Its totient is φ = 1016686080.

The previous prime is 3812605187. The next prime is 3812605201. The reversal of 3812605200 is 25062183.

3812605200 is a `hidden beast` number, since 3 + 81 + 2 + 60 + 520 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 53934336 + 3758670864 = 7344^2 + 61308^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×3812605200² = 29071916822134080000, which contains 22 as substring.

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 (3812605201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 26437 + ... + 91236.

Almost surely, 2^3812605200 is an apocalyptic number.

3812605200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3812605200 is an abundant number, since it is smaller than the sum of its proper divisors (9870645194).

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

3812605200 is a wasteful number, since it uses less digits than its factorization.

3812605200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117703 (or 117683 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3812605200 is about 61746.2970549652. The cubic root of 3812605200 is about 1562.2143110742.

Adding to 3812605200 its reverse (25062183), we get a palindrome (3837667383).

The spelling of 3812605200 in words is "three billion, eight hundred twelve million, six hundred five thousand, two hundred".