3691812091968 has 1792 divisors, whose sum is σ = 15431724564480. Its totient is φ = 834101452800.

The previous prime is 3691812091943. The next prime is 3691812091969. The reversal of 3691812091968 is 8691902181963.

3691812091968 is a `hidden beast` number, since 3 + 69 + 181 + 209 + 196 + 8 = 666.

It is a super-2 number, since 2×3691812091968² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3691812091969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2824645171 + ... + 2824646477.

It is an arithmetic number, because the mean of its divisors is an integer number (8611453440).

Almost surely, 2^{3691812091968} 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 3691812091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715862282240).

3691812091968 is an abundant number, since it is smaller than the sum of its proper divisors (11739912472512).

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

3691812091968 is a wasteful number, since it uses less digits than its factorization.

3691812091968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 3691812091968 in words is "three trillion, six hundred ninety-one billion, eight hundred twelve million, ninety-one thousand, nine hundred sixty-eight".