8393349888 has 864 divisors, whose sum is σ = 33610816512. Its totient is φ = 1962639360.

The previous prime is 8393349827. The next prime is 8393349901. The reversal of 8393349888 is 8889433938.

8393349888 is a `hidden beast` number, since 8 + 39 + 33 + 498 + 88 = 666.

It is a super-2 number, since 2×8393349888² (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 364928245 + ... + 364928267.

It is an arithmetic number, because the mean of its divisors is an integer number (38901408).

Almost surely, 2^8393349888 is an apocalyptic number.

8393349888 is a gapful number since it is divisible by the number (88) 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 8393349888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805408256).

8393349888 is an abundant number, since it is smaller than the sum of its proper divisors (25217466624).

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

8393349888 is a wasteful number, since it uses less digits than its factorization.

8393349888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 63 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The square root of 8393349888 is about 91615.2273806052. The cubic root of 8393349888 is about 2032.2561315592.

It can be divided in two parts, 8393 and 349888, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 8393349888 in words is "eight billion, three hundred ninety-three million, three hundred forty-nine thousand, eight hundred eighty-eight".