3900840321024 has 672 divisors, whose sum is σ = 12242973435264. Its totient is φ = 1193544253440.

The previous prime is 3900840321011. The next prime is 3900840321101. The reversal of 3900840321024 is 4201230480093.

3900840321024 is a `hidden beast` number, since 39 + 0 + 0 + 8 + 403 + 210 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3900840321024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4447936074 + ... + 4447936950.

Almost surely, 2^{3900840321024} 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 3900840321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121486717632).

3900840321024 is an abundant number, since it is smaller than the sum of its proper divisors (8342133114240).

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

3900840321024 is a wasteful number, since it uses less digits than its factorization.

3900840321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3900840321024 in words is "three trillion, nine hundred billion, eight hundred forty million, three hundred twenty-one thousand, twenty-four".