38638270080 has 160 divisors (see below), whose sum is σ = 137984423940. Its totient is φ = 10303524864.

The previous prime is 38638270049. The next prime is 38638270087. The reversal of 38638270080 is 8007283683.

38638270080 is a `hidden beast` number, since 3 + 8 + 638 + 2 + 7 + 0 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38607534144 + 30735936 = 196488^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38638270087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 320829 + ... + 424508.

Almost surely, 2^38638270080 is an apocalyptic number.

38638270080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38638270080 is an abundant number, since it is smaller than the sum of its proper divisors (99346153860).

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

38638270080 is an equidigital number, since it uses as much as digits as its factorization.

38638270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745368 (or 745347 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 38638270080 in words is "thirty-eight billion, six hundred thirty-eight million, two hundred seventy thousand, eighty".