3827063385600 has 2400 divisors, whose sum is σ = 16554717763584. Its totient is φ = 773834342400.

The previous prime is 3827063385577. The next prime is 3827063385601. The reversal of 3827063385600 is 65833607283.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827063385601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37155955149 + ... + 37155955251.

Almost surely, 2^{3827063385600} is an apocalyptic number.

3827063385600 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 3827063385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8277358881792).

3827063385600 is an abundant number, since it is smaller than the sum of its proper divisors (12727654377984).

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

3827063385600 is a wasteful number, since it uses less digits than its factorization.

3827063385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 3827063385600 in words is "three trillion, eight hundred twenty-seven billion, sixty-three million, three hundred eighty-five thousand, six hundred".