38587648320 has 840 divisors, whose sum is σ = 155501254656. Its totient is φ = 9061797888.

The previous prime is 38587648313. The next prime is 38587648367. The reversal of 38587648320 is 2384678583.

38587648320 is a `hidden beast` number, since 3 + 85 + 87 + 6 + 483 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 100750849 + ... + 100751231.

Almost surely, 2^38587648320 is an apocalyptic number.

38587648320 is a gapful number since it is divisible by the number (30) 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 38587648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77750627328).

38587648320 is an abundant number, since it is smaller than the sum of its proper divisors (116913606336).

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

38587648320 is a wasteful number, since it uses less digits than its factorization.

38587648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 38587648320 in words is "thirty-eight billion, five hundred eighty-seven million, six hundred forty-eight thousand, three hundred twenty".