38531168640 has 384 divisors, whose sum is σ = 139307968800. Its totient is φ = 10176233472.

The previous prime is 38531168633. The next prime is 38531168647. The reversal of 38531168640 is 4686113583.

38531168640 is a `hidden beast` number, since 38 + 531 + 1 + 6 + 86 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38531168633) and next prime (38531168647).

It is a tau number, because it is divible by the number of its divisors (384).

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 (38531168647) 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, 16950544 + ... + 16952816.

Almost surely, 2^38531168640 is an apocalyptic number.

38531168640 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 38531168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69653984400).

38531168640 is an abundant number, since it is smaller than the sum of its proper divisors (100776800160).

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

38531168640 is a wasteful number, since it uses less digits than its factorization.

38531168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38531168640 in words is "thirty-eight billion, five hundred thirty-one million, one hundred sixty-eight thousand, six hundred forty".