3819445539840 has 3168 divisors, whose sum is σ = 17222223642624. Its totient is φ = 807648952320.

The previous prime is 3819445539803. The next prime is 3819445539841. The reversal of 3819445539840 is 489355449183.

3819445539840 is a `hidden beast` number, since 3 + 8 + 1 + 94 + 4 + 5 + 539 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3819445539841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 81264798697 + ... + 81264798743.

It is an arithmetic number, because the mean of its divisors is an integer number (5436307968).

Almost surely, 2^{3819445539840} is an apocalyptic number.

3819445539840 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 3819445539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8611111821312).

3819445539840 is an abundant number, since it is smaller than the sum of its proper divisors (13402778102784).

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

3819445539840 is a wasteful number, since it uses less digits than its factorization.

3819445539840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 3819445539840 in words is "three trillion, eight hundred nineteen billion, four hundred forty-five million, five hundred thirty-nine thousand, eight hundred forty".