3917037946880 has 96 divisors (see below), whose sum is σ = 9400888780920. Its totient is φ = 1566432952320.

The previous prime is 3917037946873. The next prime is 3917037946889. The reversal of 3917037946880 is 886497307193.

It can be written as a sum of positive squares in 4 ways, for example, as 3476524327936 + 440513618944 = 1864544^2 + 663712^2 .

It is not an unprimeable number, because it can be changed into a prime (3917037946889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43956770 + ... + 44045790.

Almost surely, 2^{3917037946880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3917037946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700444390460).

3917037946880 is an abundant number, since it is smaller than the sum of its proper divisors (5483850834040).

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

3917037946880 is an equidigital number, since it uses as much as digits as its factorization.

3917037946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93345 (or 93325 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 65.

The spelling of 3917037946880 in words is "three trillion, nine hundred seventeen billion, thirty-seven million, nine hundred forty-six thousand, eight hundred eighty".