3873793359744 has 768 divisors, whose sum is σ = 14733972264960. Its totient is φ = 945797529600.

The previous prime is 3873793359739. The next prime is 3873793359763. The reversal of 3873793359744 is 4479533973783.

3873793359744 is a `hidden beast` number, since 38 + 73 + 79 + 335 + 97 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2070439129 + ... + 2070440999.

It is an arithmetic number, because the mean of its divisors is an integer number (19184859720).

Almost surely, 2^{3873793359744} is an apocalyptic number.

3873793359744 is a gapful number since it is divisible by the number (34) 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 3873793359744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7366986132480).

3873793359744 is an abundant number, since it is smaller than the sum of its proper divisors (10860178905216).

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

3873793359744 is a wasteful number, since it uses less digits than its factorization.

3873793359744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3284 counting only the distinct ones).

The product of its digits is 1440270720, while the sum is 72.

The spelling of 3873793359744 in words is "three trillion, eight hundred seventy-three billion, seven hundred ninety-three million, three hundred fifty-nine thousand, seven hundred forty-four".