3581938656912 has 960 divisors, whose sum is σ = 12867213017088. Its totient is φ = 832398336000.

The previous prime is 3581938656869. The next prime is 3581938656931. The reversal of 3581938656912 is 2196568391853.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5183702487 + ... + 5183703177.

Almost surely, 2^{3581938656912} 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 3581938656912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433606508544).

3581938656912 is an abundant number, since it is smaller than the sum of its proper divisors (9285274360176).

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

3581938656912 is a wasteful number, since it uses less digits than its factorization.

3581938656912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 965 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 66.

The spelling of 3581938656912 in words is "three trillion, five hundred eighty-one billion, nine hundred thirty-eight million, six hundred fifty-six thousand, nine hundred twelve".