3817427350968 has 1728 divisors, whose sum is σ = 14572445771520. Its totient is φ = 925431091200.

The previous prime is 3817427350927. The next prime is 3817427351027. The reversal of 3817427350968 is 8690537247183.

3817427350968 is a `hidden beast` number, since 3 + 8 + 17 + 42 + 73 + 509 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 39354921096 + ... + 39354921192.

It is an arithmetic number, because the mean of its divisors is an integer number (8433128340).

It is a 1-persistent number, because it is pandigital, but 2⋅3817427350968 = 7634854701936 is not.

Almost surely, 2^{3817427350968} 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 3817427350968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7286222885760).

3817427350968 is an abundant number, since it is smaller than the sum of its proper divisors (10755018420552).

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

3817427350968 is a wasteful number, since it uses less digits than its factorization.

3817427350968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3817427350968 in words is "three trillion, eight hundred seventeen billion, four hundred twenty-seven million, three hundred fifty thousand, nine hundred sixty-eight".