8038356480 has 960 divisors, whose sum is σ = 36401384448. Its totient is φ = 1589575680.

The previous prime is 8038356479. The next prime is 8038356493. The reversal of 8038356480 is 846538308.

8038356480 is a `hidden beast` number, since 8 + 0 + 3 + 8 + 3 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40803742 + ... + 40803938.

Almost surely, 2^8038356480 is an apocalyptic number.

8038356480 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 8038356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18200692224).

8038356480 is an abundant number, since it is smaller than the sum of its proper divisors (28363027968).

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

8038356480 is a wasteful number, since it uses less digits than its factorization.

8038356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

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

The square root of 8038356480 is about 89656.8819444442. The cubic root of 8038356480 is about 2003.1912784957.

The spelling of 8038356480 in words is "eight billion, thirty-eight million, three hundred fifty-six thousand, four hundred eighty".