8345775438 has 256 divisors, whose sum is σ = 25159680000. Its totient is φ = 1980236160.

The previous prime is 8345775421. The next prime is 8345775457.

It is a happy number.

8345775438 is a `hidden beast` number, since 8 + 34 + 577 + 5 + 4 + 38 = 666.

8345775438 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 5566813 + ... + 5568311.

It is an arithmetic number, because the mean of its divisors is an integer number (98280000).

Almost surely, 2^8345775438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8345775438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840000).

8345775438 is an abundant number, since it is smaller than the sum of its proper divisors (16813904562).

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

8345775438 is a wasteful number, since it uses less digits than its factorization.

8345775438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1638 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 8345775438 is about 91355.2157131710. The cubic root of 8345775438 is about 2028.4091686924.

The spelling of 8345775438 in words is "eight billion, three hundred forty-five million, seven hundred seventy-five thousand, four hundred thirty-eight".