3663475200 has 1080 divisors, whose sum is σ = 16919519760. Its totient is φ = 748339200.

The previous prime is 3663475187. The next prime is 3663475201. The reversal of 3663475200 is 25743663.

3663475200 is a `hidden beast` number, since 36 + 63 + 47 + 520 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3663475201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 62092771 + ... + 62092829.

It is an arithmetic number, because the mean of its divisors is an integer number (15666222).

Almost surely, 2^3663475200 is an apocalyptic number.

3663475200 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 3663475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8459759880).

3663475200 is an abundant number, since it is smaller than the sum of its proper divisors (13256044560).

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

3663475200 is a wasteful number, since it uses less digits than its factorization.

3663475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3663475200 is about 60526.6486764301. The cubic root of 3663475200 is about 1541.5741479744.

It can be divided in two parts, 366 and 3475200, that added together give a triangular number (3475566 = T₂₆₃₆).

The spelling of 3663475200 in words is "three billion, six hundred sixty-three million, four hundred seventy-five thousand, two hundred".