3651983716968 has 192 divisors, whose sum is σ = 10331979840000. Its totient is φ = 1208452545792.

The previous prime is 3651983716933. The next prime is 3651983717009. The reversal of 3651983716968 is 8696173891563.

3651983716968 is a `hidden beast` number, since 3 + 6 + 5 + 198 + 371 + 6 + 9 + 68 = 666.

It is a super-2 number, since 2×3651983716968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3651983716896 and 3651983716905.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787572346 + ... + 787576982.

It is an arithmetic number, because the mean of its divisors is an integer number (53812395000).

Almost surely, 2^{3651983716968} 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 3651983716968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165989920000).

3651983716968 is an abundant number, since it is smaller than the sum of its proper divisors (6679996123032).

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

3651983716968 is a wasteful number, since it uses less digits than its factorization.

3651983716968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7526 (or 7510 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 3651983716968 in words is "three trillion, six hundred fifty-one billion, nine hundred eighty-three million, seven hundred sixteen thousand, nine hundred sixty-eight".