3817945608192 has 416 divisors, whose sum is σ = 12088972396800. Its totient is φ = 1186530066432.

The previous prime is 3817945608181. The next prime is 3817945608227. The reversal of 3817945608192 is 2918065497183.

3817945608192 is a `hidden beast` number, since 3 + 8 + 1 + 7 + 9 + 4 + 5 + 608 + 19 + 2 = 666.

It is a super-2 number, since 2×3817945608192² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 201157359 + ... + 201176337.

It is an arithmetic number, because the mean of its divisors is an integer number (29060029800).

It is a 1-persistent number, because it is pandigital, but 2⋅3817945608192 = 7635891216384 is not.

Almost surely, 2^{3817945608192} is an apocalyptic number.

3817945608192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3817945608192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044486198400).

3817945608192 is an abundant number, since it is smaller than the sum of its proper divisors (8271026788608).

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

3817945608192 is a wasteful number, since it uses less digits than its factorization.

3817945608192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19136 (or 19108 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 3817945608192 in words is "three trillion, eight hundred seventeen billion, nine hundred forty-five million, six hundred eight thousand, one hundred ninety-two".