3906100440000 has 1680 divisors, whose sum is σ = 16113885106176. Its totient is φ = 895564800000.

The previous prime is 3906100439987. The next prime is 3906100440013. The reversal of 3906100440000 is 440016093.

3906100440000 is a `hidden beast` number, since 3 + 9 + 0 + 610 + 0 + 4 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3906100439987) and next prime (3906100440013).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5769719662 + ... + 5769720338.

Almost surely, 2^{3906100440000} is an apocalyptic number.

3906100440000 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 3906100440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8056942553088).

3906100440000 is an abundant number, since it is smaller than the sum of its proper divisors (12207784666176).

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

3906100440000 is a wasteful number, since it uses less digits than its factorization.

3906100440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 3906100440000 its reverse (440016093), we get a palindrome (3906540456093).

The spelling of 3906100440000 in words is "three trillion, nine hundred six billion, one hundred million, four hundred forty thousand".