8387800344 has 576 divisors, whose sum is σ = 31133491200. Its totient is φ = 2047731840.

The previous prime is 8387800307. The next prime is 8387800367. The reversal of 8387800344 is 4430087838.

It is a happy number.

It is a super-2 number, since 2×8387800344² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8387800344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66045609 + ... + 66045735.

It is an arithmetic number, because the mean of its divisors is an integer number (54051200).

Almost surely, 2^8387800344 is an apocalyptic number.

8387800344 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 8387800344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15566745600).

8387800344 is an abundant number, since it is smaller than the sum of its proper divisors (22745690856).

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

8387800344 is a wasteful number, since it uses less digits than its factorization.

8387800344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8387800344 is about 91584.9351367352. The cubic root of 8387800344 is about 2031.8081347714.

The spelling of 8387800344 in words is "eight billion, three hundred eighty-seven million, eight hundred thousand, three hundred forty-four".