8353750944 has 288 divisors, whose sum is σ = 27953952768. Its totient is φ = 2137766400.

The previous prime is 8353750927. The next prime is 8353750963. The reversal of 8353750944 is 4490573538.

It is a super-2 number, since 2×8353750944² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8353750893 and 8353750902.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5772429 + ... + 5773875.

It is an arithmetic number, because the mean of its divisors is an integer number (97062336).

Almost surely, 2^8353750944 is an apocalyptic number.

8353750944 is a gapful number since it is divisible by the number (84) 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 8353750944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976976384).

8353750944 is an abundant number, since it is smaller than the sum of its proper divisors (19600201824).

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

8353750944 is a wasteful number, since it uses less digits than its factorization.

8353750944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The square root of 8353750944 is about 91398.8563604600. The cubic root of 8353750944 is about 2029.0551018381.

The spelling of 8353750944 in words is "eight billion, three hundred fifty-three million, seven hundred fifty thousand, nine hundred forty-four".