3948659753688 has 448 divisors, whose sum is σ = 12591347408640. Its totient is φ = 1151231761152.

The previous prime is 3948659753683. The next prime is 3948659753693. The reversal of 3948659753688 is 8863579568493.

3948659753688 is a `hidden beast` number, since 3 + 9 + 486 + 5 + 9 + 7 + 53 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (3948659753683) and next prime (3948659753693).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948659753681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 186572595 + ... + 186593757.

It is an arithmetic number, because the mean of its divisors is an integer number (28105686180).

Almost surely, 2^{3948659753688} 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 3948659753688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6295673704320).

3948659753688 is an abundant number, since it is smaller than the sum of its proper divisors (8642687654952).

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

3948659753688 is a wasteful number, since it uses less digits than its factorization.

3948659753688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21330 (or 21311 counting only the distinct ones).

The product of its digits is 9405849600, while the sum is 81.

The spelling of 3948659753688 in words is "three trillion, nine hundred forty-eight billion, six hundred fifty-nine million, seven hundred fifty-three thousand, six hundred eighty-eight".