3782893936976 has 120 divisors (see below), whose sum is σ = 9225231630720. Its totient is φ = 1470956509440.

The previous prime is 3782893936963. The next prime is 3782893937023. The reversal of 3782893936976 is 6796393982873.

It is a self number, because there is not a number n which added to its sum of digits gives 3782893936976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6623765 + ... + 7172171.

It is an arithmetic number, because the mean of its divisors is an integer number (76876930256).

Almost surely, 2^{3782893936976} 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 3782893936976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612615815360).

3782893936976 is an abundant number, since it is smaller than the sum of its proper divisors (5442337693744).

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

3782893936976 is a wasteful number, since it uses less digits than its factorization.

3782893936976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548953 (or 548936 counting only the distinct ones).

The product of its digits is 4444263936, while the sum is 80.

The spelling of 3782893936976 in words is "three trillion, seven hundred eighty-two billion, eight hundred ninety-three million, nine hundred thirty-six thousand, nine hundred seventy-six".