38904814080 has 320 divisors, whose sum is σ = 150759100800. Its totient is φ = 9431285760.

The previous prime is 38904814037. The next prime is 38904814087. The reversal of 38904814080 is 8041840983.

38904814080 is a `hidden beast` number, since 3 + 8 + 90 + 481 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 (38904814087) 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 31 ways as a sum of consecutive naturals, for example, 734736 + ... + 785904.

It is an arithmetic number, because the mean of its divisors is an integer number (471122190).

Almost surely, 2^38904814080 is an apocalyptic number.

38904814080 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 38904814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75379550400).

38904814080 is an abundant number, since it is smaller than the sum of its proper divisors (111854286720).

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

38904814080 is a wasteful number, since it uses less digits than its factorization.

38904814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51212 (or 51190 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 38904814080 in words is "thirty-eight billion, nine hundred four million, eight hundred fourteen thousand, eighty".