8038932480 has 280 divisors, whose sum is σ = 28831196592. Its totient is φ = 2142830592.

The previous prime is 8038932479. The next prime is 8038932527. The reversal of 8038932480 is 842398308.

8038932480 is a `hidden beast` number, since 80 + 3 + 8 + 93 + 2 + 480 = 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 19 ways as a sum of consecutive naturals, for example, 3316549 + ... + 3318971.

Almost surely, 2^8038932480 is an apocalyptic number.

8038932480 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 8038932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415598296).

8038932480 is an abundant number, since it is smaller than the sum of its proper divisors (20792264112).

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

8038932480 is an equidigital number, since it uses as much as digits as its factorization.

8038932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8038932480 is about 89660.0941333434. The cubic root of 8038932480 is about 2003.2391245374.

The spelling of 8038932480 in words is "eight billion, thirty-eight million, nine hundred thirty-two thousand, four hundred eighty".