8109348000 has 384 divisors, whose sum is σ = 28861297920. Its totient is φ = 1978675200.

The previous prime is 8109347989. The next prime is 8109348031. The reversal of 8109348000 is 8439018.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35411886 + ... + 35412114.

It is an arithmetic number, because the mean of its divisors is an integer number (75159630).

Almost surely, 2^8109348000 is an apocalyptic number.

8109348000 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 8109348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14430648960).

8109348000 is an abundant number, since it is smaller than the sum of its proper divisors (20751949920).

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

8109348000 is a wasteful number, since it uses less digits than its factorization.

8109348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8109348000 is about 90051.9183582449. The cubic root of 8109348000 is about 2009.0711284459.

The spelling of 8109348000 in words is "eight billion, one hundred nine million, three hundred forty-eight thousand".