3827488204800 has 2160 divisors, whose sum is σ = 15831231736320. Its totient is φ = 912994467840.

The previous prime is 3827488204759. The next prime is 3827488204811. The reversal of 3827488204800 is 84028847283.

3827488204800 is a `hidden beast` number, since 3 + 82 + 7 + 4 + 8 + 82 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 30137702337 + ... + 30137702463.

It is an arithmetic number, because the mean of its divisors is an integer number (7329273952).

Almost surely, 2^{3827488204800} is an apocalyptic number.

3827488204800 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 3827488204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7915615868160).

3827488204800 is an abundant number, since it is smaller than the sum of its proper divisors (12003743531520).

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

3827488204800 is a wasteful number, since it uses less digits than its factorization.

3827488204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 3827488204800 in words is "three trillion, eight hundred twenty-seven billion, four hundred eighty-eight million, two hundred four thousand, eight hundred".