3885564211200 has 3744 divisors, whose sum is σ = 18340815398400. Its totient is φ = 801146142720.

The previous prime is 3885564211159. The next prime is 3885564211231. The reversal of 3885564211200 is 21124655883.

3885564211200 is a `hidden beast` number, since 3 + 8 + 85 + 564 + 2 + 1 + 1 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 90361958379 + ... + 90361958421.

Almost surely, 2^{3885564211200} is an apocalyptic number.

3885564211200 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 3885564211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9170407699200).

3885564211200 is an abundant number, since it is smaller than the sum of its proper divisors (14455251187200).

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

3885564211200 is a wasteful number, since it uses less digits than its factorization.

3885564211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 3885564211200 in words is "three trillion, eight hundred eighty-five billion, five hundred sixty-four million, two hundred eleven thousand, two hundred".