38535200208 has 120 divisors (see below), whose sum is σ = 113750844480. Its totient is φ = 12144384000.

The previous prime is 38535200191. The next prime is 38535200213. The reversal of 38535200208 is 80200253583.

38535200208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×38535200208⁴ (a number of 43 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1362208 + ... + 1390208.

It is an arithmetic number, because the mean of its divisors is an integer number (947923704).

Almost surely, 2^38535200208 is an apocalyptic number.

38535200208 is a gapful number since it is divisible by the number (38) 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 38535200208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56875422240).

38535200208 is an abundant number, since it is smaller than the sum of its proper divisors (75215644272).

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

38535200208 is a wasteful number, since it uses less digits than its factorization.

38535200208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28537 (or 28528 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 38535200208 in words is "thirty-eight billion, five hundred thirty-five million, two hundred thousand, two hundred eight".