3968617653 has 144 divisors (see below), whose sum is σ = 8100146880. Its totient is φ = 1902035520.

The previous prime is 3968617643. The next prime is 3968617691. The reversal of 3968617653 is 3567168693.

3968617653 is a `hidden beast` number, since 396 + 86 + 176 + 5 + 3 = 666.

3968617653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3968617653 - 2⁹ = 3968617141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3968617653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968617643) 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, 2080126 + ... + 2082032.

It is an arithmetic number, because the mean of its divisors is an integer number (56251020).

Almost surely, 2^3968617653 is an apocalyptic number.

3968617653 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3968617653 is an abundant number, since it is smaller than the sum of its proper divisors (4131529227).

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

3968617653 is a wasteful number, since it uses less digits than its factorization.

3968617653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1941 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 3968617653 is about 62996.9654269156. The cubic root of 3968617653 is about 1583.2387835495.

The spelling of 3968617653 in words is "three billion, nine hundred sixty-eight million, six hundred seventeen thousand, six hundred fifty-three".