8044388352 has 672 divisors, whose sum is σ = 31486815360. Its totient is φ = 1911029760.

The previous prime is 8044388327. The next prime is 8044388377. The reversal of 8044388352 is 2538834408.

8044388352 is a `hidden beast` number, since 80 + 443 + 8 + 83 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (8044388327) and next prime (8044388377).

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 8044388298 and 8044388307.

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, 73801674 + ... + 73801782.

It is an arithmetic number, because the mean of its divisors is an integer number (46855380).

Almost surely, 2^8044388352 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 8044388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15743407680).

8044388352 is an abundant number, since it is smaller than the sum of its proper divisors (23442427008).

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

8044388352 is a wasteful number, since it uses less digits than its factorization.

8044388352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8044388352 is about 89690.5142810543. The cubic root of 8044388352 is about 2003.6922089354.

The spelling of 8044388352 in words is "eight billion, forty-four million, three hundred eighty-eight thousand, three hundred fifty-two".