38162865240 has 96 divisors (see below), whose sum is σ = 124339082400. Its totient is φ = 10151347200.

The previous prime is 38162865187. The next prime is 38162865241. The reversal of 38162865240 is 4256826183.

38162865240 is a `hidden beast` number, since 38 + 16 + 2 + 86 + 524 + 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 not an unprimeable number, because it can be changed into a prime (38162865241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12181 + ... + 276539.

It is an arithmetic number, because the mean of its divisors is an integer number (1295198775).

Almost surely, 2^38162865240 is an apocalyptic number.

38162865240 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 38162865240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62169541200).

38162865240 is an abundant number, since it is smaller than the sum of its proper divisors (86176217160).

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

38162865240 is a wasteful number, since it uses less digits than its factorization.

38162865240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264777 (or 264770 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 38162865240 in words is "thirty-eight billion, one hundred sixty-two million, eight hundred sixty-five thousand, two hundred forty".