3815712841248 has 1536 divisors, whose sum is σ = 15524250255360. Its totient is φ = 881362944000.

The previous prime is 3815712841223. The next prime is 3815712841277. The reversal of 3815712841248 is 8421482175183.

3815712841248 is a `hidden beast` number, since 3 + 8 + 1 + 571 + 2 + 8 + 41 + 24 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3815712841194 and 3815712841203.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1507589743 + ... + 1507592273.

It is an arithmetic number, because the mean of its divisors is an integer number (10106933760).

Almost surely, 2^{3815712841248} 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 3815712841248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7762125127680).

3815712841248 is an abundant number, since it is smaller than the sum of its proper divisors (11708537414112).

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

3815712841248 is a wasteful number, since it uses less digits than its factorization.

3815712841248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2645 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 3815712841248 in words is "three trillion, eight hundred fifteen billion, seven hundred twelve million, eight hundred forty-one thousand, two hundred forty-eight".