3669135220800 has 252 divisors, whose sum is σ = 14903969436096. Its totient is φ = 838659456000.

The previous prime is 3669135220789. The next prime is 3669135220811. The reversal of 3669135220800 is 80225319663.

3669135220800 is a `hidden beast` number, since 3 + 6 + 6 + 91 + 352 + 208 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3669135220789) and next prime (3669135220811).

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 18099276 + ... + 18300875.

Almost surely, 2^{3669135220800} is an apocalyptic number.

3669135220800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3669135220800 is an abundant number, since it is smaller than the sum of its proper divisors (11234834215296).

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

3669135220800 is a wasteful number, since it uses less digits than its factorization.

3669135220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36400186 (or 36400168 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 3669135220800 in words is "three trillion, six hundred sixty-nine billion, one hundred thirty-five million, two hundred twenty thousand, eight hundred".