3848696248320 has 2304 divisors, whose sum is σ = 17931442314240. Its totient is φ = 738931507200.

The previous prime is 3848696248307. The next prime is 3848696248343. The reversal of 3848696248320 is 238426968483.

3848696248320 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 69 + 6 + 248 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7358883579 + ... + 7358884101.

It is an arithmetic number, because the mean of its divisors is an integer number (7782744060).

Almost surely, 2^{3848696248320} is an apocalyptic number.

3848696248320 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 3848696248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8965721157120).

3848696248320 is an abundant number, since it is smaller than the sum of its proper divisors (14082746065920).

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

3848696248320 is a wasteful number, since it uses less digits than its factorization.

3848696248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 3848696248320 in words is "three trillion, eight hundred forty-eight billion, six hundred ninety-six million, two hundred forty-eight thousand, three hundred twenty".