38339481600 has 936 divisors, whose sum is σ = 164418925920. Its totient is φ = 8732344320.

The previous prime is 38339481577. The next prime is 38339481611. The reversal of 38339481600 is 618493383.

38339481600 is a `hidden beast` number, since 3 + 8 + 3 + 39 + 4 + 8 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135475059 + ... + 135475341.

Almost surely, 2^38339481600 is an apocalyptic number.

38339481600 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 38339481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82209462960).

38339481600 is an abundant number, since it is smaller than the sum of its proper divisors (126079444320).

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

38339481600 is a wasteful number, since it uses less digits than its factorization.

38339481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 38339481600 in words is "thirty-eight billion, three hundred thirty-nine million, four hundred eighty-one thousand, six hundred".