8038435680 has 192 divisors, whose sum is σ = 30692390400. Its totient is φ = 1948700160.

The previous prime is 8038435667. The next prime is 8038435733. The reversal of 8038435680 is 865348308.

8038435680 is a `hidden beast` number, since 8 + 0 + 3 + 84 + 3 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37060 + ... + 132099.

It is an arithmetic number, because the mean of its divisors is an integer number (159856200).

Almost surely, 2^8038435680 is an apocalyptic number.

8038435680 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 8038435680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15346195200).

8038435680 is an abundant number, since it is smaller than the sum of its proper divisors (22653954720).

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

8038435680 is a wasteful number, since it uses less digits than its factorization.

8038435680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169194 (or 169180 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8038435680 is about 89657.3236272420. The cubic root of 8038435680 is about 2003.1978574620.

The spelling of 8038435680 in words is "eight billion, thirty-eight million, four hundred thirty-five thousand, six hundred eighty".