8338010400 has 756 divisors, whose sum is σ = 33466713462. Its totient is φ = 2020515840.

The previous prime is 8338010399. The next prime is 8338010411. The reversal of 8338010400 is 40108338.

It can be written as a sum of positive squares in 9 ways, for example, as 1404450576 + 6933559824 = 37476^2 + 83268^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 287517586 + ... + 287517614.

Almost surely, 2^8338010400 is an apocalyptic number.

8338010400 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 8338010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16733356731).

8338010400 is an abundant number, since it is smaller than the sum of its proper divisors (25128703062).

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

8338010400 is a wasteful number, since it uses less digits than its factorization.

8338010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8338010400 is about 91312.7066732774. The cubic root of 8338010400 is about 2027.7798857772.

Adding to 8338010400 its reverse (40108338), we get a palindrome (8378118738).

The spelling of 8338010400 in words is "eight billion, three hundred thirty-eight million, ten thousand, four hundred".