3848591335680 has 2160 divisors, whose sum is σ = 18165433366080. Its totient is φ = 769022263296.

The previous prime is 3848591335663. The next prime is 3848591335697. The reversal of 3848591335680 is 865331958483.

3848591335680 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 59 + 13 + 3 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3848591335663) and next prime (3848591335697).

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1254837507 + ... + 1254840573.

Almost surely, 2^{3848591335680} is an apocalyptic number.

3848591335680 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 3848591335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9082716683040).

3848591335680 is an abundant number, since it is smaller than the sum of its proper divisors (14316842030400).

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

3848591335680 is a wasteful number, since it uses less digits than its factorization.

3848591335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 3848591335680 in words is "three trillion, eight hundred forty-eight billion, five hundred ninety-one million, three hundred thirty-five thousand, six hundred eighty".