3906000000000 has 1320 divisors, whose sum is σ = 16631873296896. Its totient is φ = 864000000000.

The previous prime is 3905999999963. The next prime is 3906000000073. The reversal of 3906000000000 is 6093.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3906000000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 125999999985 + ... + 126000000015.

Almost surely, 2^{3906000000000} is an apocalyptic number.

3906000000000 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 3906000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315936648448).

3906000000000 is an abundant number, since it is smaller than the sum of its proper divisors (12725873296896).

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

3906000000000 is an frugal number, since it uses more digits than its factorization.

3906000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3906000000000 its reverse (6093), we get a palindrome (3906000006093).

The spelling of 3906000000000 in words is "three trillion, nine hundred six billion", and thus it is an aban number.