8034318720 has 384 divisors, whose sum is σ = 30296448000. Its totient is φ = 2028976128.

The previous prime is 8034318709. The next prime is 8034318751. The reversal of 8034318720 is 278134308.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2953521 + ... + 2956239.

It is an arithmetic number, because the mean of its divisors is an integer number (78897000).

Almost surely, 2^8034318720 is an apocalyptic number.

8034318720 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 8034318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148224000).

8034318720 is an abundant number, since it is smaller than the sum of its proper divisors (22262129280).

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

8034318720 is a wasteful number, since it uses less digits than its factorization.

8034318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8034318720 is about 89634.3612684332. The cubic root of 8034318720 is about 2002.8558135569.

The spelling of 8034318720 in words is "eight billion, thirty-four million, three hundred eighteen thousand, seven hundred twenty".