3810240000000 has 1872 divisors, whose sum is σ = 16596331341408. Its totient is φ = 870912000000.

The previous prime is 3810239999999. The next prime is 3810240000001. The reversal of 3810240000000 is 420183.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (3810239999999) and next prime (3810240000001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3810240000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 544319999997 + ... + 544320000003.

It is an arithmetic number, because the mean of its divisors is an integer number (8865561614).

Almost surely, 2^{3810240000000} is an apocalyptic number.

3810240000000 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 3810240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298165670704).

3810240000000 is an abundant number, since it is smaller than the sum of its proper divisors (12786091341408).

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

3810240000000 is an frugal number, since it uses more digits than its factorization.

3810240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 3810240000000 its reverse (420183), we get a palindrome (3810240420183).

The spelling of 3810240000000 in words is "three trillion, eight hundred ten billion, two hundred forty million", and thus it is an aban number.