3819256000000 has 420 divisors, whose sum is σ = 11097170141904. Its totient is φ = 1309324800000.

The previous prime is 3819255999997. The next prime is 3819256000057. The reversal of 3819256000000 is 6529183.

3819256000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3819256000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 391995129 + ... + 392004871.

Almost surely, 2^{3819256000000} 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 3819256000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548585070952).

3819256000000 is an abundant number, since it is smaller than the sum of its proper divisors (7277914141904).

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

3819256000000 is an frugal number, since it uses more digits than its factorization.

3819256000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9805 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 3819256000000 in words is "three trillion, eight hundred nineteen billion, two hundred fifty-six million", and thus it is an aban number.