38240527615488 has 480 divisors, whose sum is σ = 125682122472192. Its totient is φ = 11079842611200.

The previous prime is 38240527615483. The next prime is 38240527615517. The reversal of 38240527615488 is 88451672504283.

38240527615488 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 0 + 5 + 2 + 7 + 615 + 4 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38240527615483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4041907078 + ... + 4041916538.

Almost surely, 2^{38240527615488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38240527615488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62841061236096).

38240527615488 is an abundant number, since it is smaller than the sum of its proper divisors (87441594856704).

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

38240527615488 is a wasteful number, since it uses less digits than its factorization.

38240527615488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12986 (or 12967 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 38240527615488 in words is "thirty-eight trillion, two hundred forty billion, five hundred twenty-seven million, six hundred fifteen thousand, four hundred eighty-eight".