3831918741504 has 1728 divisors, whose sum is σ = 14257481172480. Its totient is φ = 1023356436480.

The previous prime is 3831918741503. The next prime is 3831918741517. The reversal of 3831918741504 is 4051478191383.

3831918741504 is a `hidden beast` number, since 3 + 8 + 3 + 1 + 91 + 8 + 7 + 41 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3831918741503) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27970209724 + ... + 27970209860.

It is an arithmetic number, because the mean of its divisors is an integer number (8250857160).

Almost surely, 2^{3831918741504} 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 3831918741504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128740586240).

3831918741504 is an abundant number, since it is smaller than the sum of its proper divisors (10425562430976).

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

3831918741504 is a wasteful number, since it uses less digits than its factorization.

3831918741504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 3831918741504 in words is "three trillion, eight hundred thirty-one billion, nine hundred eighteen million, seven hundred forty-one thousand, five hundred four".