38660338080 has 864 divisors, whose sum is σ = 168326750592. Its totient is φ = 7868067840.

The previous prime is 38660338043. The next prime is 38660338081. The reversal of 38660338080 is 8083306683.

It is a happy number.

38660338080 is a `hidden beast` number, since 3 + 8 + 6 + 603 + 38 + 0 + 8 + 0 = 666.

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 (38660338081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 125929287 + ... + 125929593.

It is an arithmetic number, because the mean of its divisors is an integer number (194822628).

Almost surely, 2^38660338080 is an apocalyptic number.

38660338080 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 38660338080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84163375296).

38660338080 is an abundant number, since it is smaller than the sum of its proper divisors (129666412512).

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

38660338080 is a wasteful number, since it uses less digits than its factorization.

38660338080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 38660338080 in words is "thirty-eight billion, six hundred sixty million, three hundred thirty-eight thousand, eighty".