9400007844 has 72 divisors (see below), whose sum is σ = 24359975640. Its totient is φ = 3054489600.

The previous prime is 9400007833. The next prime is 9400007857. The reversal of 9400007844 is 4487000049.

It can be written as a sum of positive squares in 4 ways, for example, as 166719744 + 9233288100 = 12912^2 + 96090^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9400007799 and 9400007808.

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 23 ways as a sum of consecutive naturals, for example, 3601612 + ... + 3604220.

It is an arithmetic number, because the mean of its divisors is an integer number (338332995).

Almost surely, 2^9400007844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9400007844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12179987820).

9400007844 is an abundant number, since it is smaller than the sum of its proper divisors (14959967796).

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

9400007844 is a wasteful number, since it uses less digits than its factorization.

9400007844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 9400007844 is about 96953.6376006594. The cubic root of 9400007844 is about 2110.4548815256.

The spelling of 9400007844 in words is "nine billion, four hundred million, seven thousand, eight hundred forty-four".