3783240000000 has 1280 divisors, whose sum is σ = 14577712680960. Its totient is φ = 967680000000.

The previous prime is 3783239999989. The next prime is 3783240000149. The reversal of 3783240000000 is 423873.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 33479999944 + ... + 33480000056.

It is an arithmetic number, because the mean of its divisors is an integer number (11388838032).

Almost surely, 2^{3783240000000} is an apocalyptic number.

3783240000000 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 3783240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288856340480).

3783240000000 is an abundant number, since it is smaller than the sum of its proper divisors (10794472680960).

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

3783240000000 is an frugal number, since it uses more digits than its factorization.

3783240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 3783240000000 its reverse (423873), we get a palindrome (3783240423873).

The spelling of 3783240000000 in words is "three trillion, seven hundred eighty-three billion, two hundred forty million", and thus it is an aban number.