3789673943040 has 312 divisors, whose sum is σ = 13162576596000. Its totient is φ = 1008530030592.

The previous prime is 3789673942993. The next prime is 3789673943047. The reversal of 3789673943040 is 403493769873.

3789673943040 is a `hidden beast` number, since 3 + 7 + 8 + 96 + 73 + 9 + 430 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3789673943047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91955079 + ... + 91996281.

It is an arithmetic number, because the mean of its divisors is an integer number (42187745500).

Almost surely, 2^{3789673943040} is an apocalyptic number.

3789673943040 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 3789673943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581288298000).

3789673943040 is an abundant number, since it is smaller than the sum of its proper divisors (9372902652960).

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

3789673943040 is a wasteful number, since it uses less digits than its factorization.

3789673943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41737 (or 41712 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 3789673943040 in words is "three trillion, seven hundred eighty-nine billion, six hundred seventy-three million, nine hundred forty-three thousand, forty".