38052134208 has 336 divisors, whose sum is σ = 124015073280. Its totient is φ = 11432171520.

The previous prime is 38052134207. The next prime is 38052134213. The reversal of 38052134208 is 80243125083.

38052134208 is a `hidden beast` number, since 3 + 80 + 521 + 34 + 20 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38052134201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26553460 + ... + 26554892.

It is an arithmetic number, because the mean of its divisors is an integer number (369092480).

Almost surely, 2^38052134208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38052134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62007536640).

38052134208 is an abundant number, since it is smaller than the sum of its proper divisors (85962939072).

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

38052134208 is a wasteful number, since it uses less digits than its factorization.

38052134208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 38052134208 in words is "thirty-eight billion, fifty-two million, one hundred thirty-four thousand, two hundred eight".