38338560000 has 600 divisors, whose sum is σ = 149046547650. Its totient is φ = 9437184000.

The previous prime is 38338559951. The next prime is 38338560023. The reversal of 38338560000 is 6583383.

It can be written as a sum of positive squares in 5 ways, for example, as 285474816 + 38053085184 = 16896^2 + 195072^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2949119994 + ... + 2949120006.

Almost surely, 2^38338560000 is an apocalyptic number.

38338560000 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 38338560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74523273825).

38338560000 is an abundant number, since it is smaller than the sum of its proper divisors (110707987650).

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

38338560000 is an frugal number, since it uses more digits than its factorization.

38338560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 38338560000 in words is "thirty-eight billion, three hundred thirty-eight million, five hundred sixty thousand".