8416297344 has 384 divisors, whose sum is σ = 28097556480. Its totient is φ = 2185297920.

The previous prime is 8416297343. The next prime is 8416297349. The reversal of 8416297344 is 4437926148.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 8416297293 and 8416297302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8416297343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44064289 + ... + 44064479.

It is an arithmetic number, because the mean of its divisors is an integer number (73170720).

Almost surely, 2^8416297344 is an apocalyptic number.

8416297344 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 8416297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048778240).

8416297344 is an abundant number, since it is smaller than the sum of its proper divisors (19681259136).

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

8416297344 is a wasteful number, since it uses less digits than its factorization.

8416297344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 313 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 8416297344 is about 91740.3801169365. The cubic root of 8416297344 is about 2034.1065120397.

The spelling of 8416297344 in words is "eight billion, four hundred sixteen million, two hundred ninety-seven thousand, three hundred forty-four".