8348400000 has 384 divisors, whose sum is σ = 30837088800. Its totient is φ = 2223360000.

The previous prime is 8348399977. The next prime is 8348400007. The reversal of 8348400000 is 48438.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8348400007) 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, 10799614 + ... + 10800386.

Almost surely, 2^8348400000 is an apocalyptic number.

8348400000 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 8348400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15418544400).

8348400000 is an abundant number, since it is smaller than the sum of its proper divisors (22488688800).

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

8348400000 is an frugal number, since it uses more digits than its factorization.

8348400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8348400000 is about 91369.5791825704. The cubic root of 8348400000 is about 2028.6217763644.

Adding to 8348400000 its reverse (48438), we get a palindrome (8348448438).

The spelling of 8348400000 in words is "eight billion, three hundred forty-eight million, four hundred thousand".