38387385540 has 288 divisors, whose sum is σ = 138949574400. Its totient is φ = 8714221056.

The previous prime is 38387385511. The next prime is 38387385607. The reversal of 38387385540 is 4558378383.

38387385540 is a `hidden beast` number, since 3 + 8 + 3 + 87 + 3 + 8 + 554 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5065194 + ... + 5072766.

It is an arithmetic number, because the mean of its divisors is an integer number (482463800).

Almost surely, 2^38387385540 is an apocalyptic number.

38387385540 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 38387385540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69474787200).

38387385540 is an abundant number, since it is smaller than the sum of its proper divisors (100562188860).

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

38387385540 is a wasteful number, since it uses less digits than its factorization.

38387385540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753 (or 7739 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 38387385540 in words is "thirty-eight billion, three hundred eighty-seven million, three hundred eighty-five thousand, five hundred forty".