38738600352 has 48 divisors (see below), whose sum is σ = 112987586880. Its totient is φ = 12912866496.

The previous prime is 38738600309. The next prime is 38738600353. The reversal of 38738600352 is 25300683783.

38738600352 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 8 + 600 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 38738600298 and 38738600307.

It is not an unprimeable number, because it can be changed into a prime (38738600353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22417308 + ... + 22419035.

It is an arithmetic number, because the mean of its divisors is an integer number (2353908060).

Almost surely, 2^38738600352 is an apocalyptic number.

38738600352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38738600352 is an abundant number, since it is smaller than the sum of its proper divisors (74248986528).

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

38738600352 is a wasteful number, since it uses less digits than its factorization.

38738600352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44836362 (or 44836348 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 38738600352 in words is "thirty-eight billion, seven hundred thirty-eight million, six hundred thousand, three hundred fifty-two".