8352410880 has 288 divisors, whose sum is σ = 29480693760. Its totient is φ = 1998397440.

The previous prime is 8352410873. The next prime is 8352410897. The reversal of 8352410880 is 880142538.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3335709 + ... + 3338211.

It is an arithmetic number, because the mean of its divisors is an integer number (102363520).

Almost surely, 2^8352410880 is an apocalyptic number.

8352410880 is a gapful number since it is divisible by the number (80) 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 8352410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740346880).

8352410880 is an abundant number, since it is smaller than the sum of its proper divisors (21128282880).

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

8352410880 is a wasteful number, since it uses less digits than its factorization.

8352410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 8352410880 is about 91391.5252088507. The cubic root of 8352410880 is about 2028.9465993175.

The spelling of 8352410880 in words is "eight billion, three hundred fifty-two million, four hundred ten thousand, eight hundred eighty".