8038130880 has 448 divisors, whose sum is σ = 29290060800. Its totient is φ = 1851310080.

The previous prime is 8038130879. The next prime is 8038130909. The reversal of 8038130880 is 880318308.

It is a super-2 number, since 2×8038130880² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) 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 (39).

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, 25845925 + ... + 25846235.

It is an arithmetic number, because the mean of its divisors is an integer number (65379600).

Almost surely, 2^8038130880 is an apocalyptic number.

8038130880 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 8038130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14645030400).

8038130880 is an abundant number, since it is smaller than the sum of its proper divisors (21251929920).

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

8038130880 is a wasteful number, since it uses less digits than its factorization.

8038130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 8038130880 is about 89655.6238057602. The cubic root of 8038130880 is about 2003.1725381731.

The spelling of 8038130880 in words is "eight billion, thirty-eight million, one hundred thirty thousand, eight hundred eighty".