3817063947840 has 1792 divisors, whose sum is σ = 15281104011264. Its totient is φ = 800756858880.

The previous prime is 3817063947769. The next prime is 3817063947847. The reversal of 3817063947840 is 487493607183.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3817063947847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37058873229 + ... + 37058873331.

It is an arithmetic number, because the mean of its divisors is an integer number (8527401792).

Almost surely, 2^{3817063947840} is an apocalyptic number.

3817063947840 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 3817063947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640552005632).

3817063947840 is an abundant number, since it is smaller than the sum of its proper divisors (11464040063424).

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

3817063947840 is a wasteful number, since it uses less digits than its factorization.

3817063947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 3817063947840 in words is "three trillion, eight hundred seventeen billion, sixty-three million, nine hundred forty-seven thousand, eight hundred forty".