38587530240 has 1056 divisors, whose sum is σ = 167748931584. Its totient is φ = 7998013440.

The previous prime is 38587530221. The next prime is 38587530263. The reversal of 38587530240 is 4203578583.

38587530240 is a `hidden beast` number, since 38 + 5 + 87 + 530 + 2 + 4 + 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 95 ways as a sum of consecutive naturals, for example, 169989007 + ... + 169989233.

Almost surely, 2^38587530240 is an apocalyptic number.

38587530240 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 38587530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83874465792).

38587530240 is an abundant number, since it is smaller than the sum of its proper divisors (129161401344).

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

38587530240 is a wasteful number, since it uses less digits than its factorization.

38587530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 38587530240 in words is "thirty-eight billion, five hundred eighty-seven million, five hundred thirty thousand, two hundred forty".