8038771104 has 288 divisors, whose sum is σ = 27421027200. Its totient is φ = 2007742464.

The previous prime is 8038771061. The next prime is 8038771109. The reversal of 8038771104 is 4011778308.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (8038771109) 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, 3152422 + ... + 3154970.

It is an arithmetic number, because the mean of its divisors is an integer number (95211900).

Almost surely, 2^8038771104 is an apocalyptic number.

8038771104 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 8038771104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13710513600).

8038771104 is an abundant number, since it is smaller than the sum of its proper divisors (19382256096).

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

8038771104 is a wasteful number, since it uses less digits than its factorization.

8038771104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 8038771104 is about 89659.1941966913. The cubic root of 8038771104 is about 2003.2257199019.

The spelling of 8038771104 in words is "eight billion, thirty-eight million, seven hundred seventy-one thousand, one hundred four".