3827633736960 has 2304 divisors, whose sum is σ = 16021297152000. Its totient is φ = 856554209280.

The previous prime is 3827633736947. The next prime is 3827633736973. The reversal of 3827633736960 is 696373367283.

It is a happy number.

3827633736960 is a `hidden beast` number, since 3 + 82 + 76 + 3 + 373 + 69 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3827633736947) and next prime (3827633736973).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43007120596 + ... + 43007120684.

It is an arithmetic number, because the mean of its divisors is an integer number (6953688000).

Almost surely, 2^{3827633736960} is an apocalyptic number.

3827633736960 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 3827633736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8010648576000).

3827633736960 is an abundant number, since it is smaller than the sum of its proper divisors (12193663415040).

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

3827633736960 is a wasteful number, since it uses less digits than its factorization.

3827633736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 63.

The spelling of 3827633736960 in words is "three trillion, eight hundred twenty-seven billion, six hundred thirty-three million, seven hundred thirty-six thousand, nine hundred sixty".