38535352128 has 672 divisors, whose sum is σ = 143293486336. Its totient is φ = 9997074432.

The previous prime is 38535352109. The next prime is 38535352147. The reversal of 38535352128 is 82125353583.

It is a happy number.

38535352128 is a `hidden beast` number, since 3 + 8 + 53 + 53 + 521 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (38535352109) and next prime (38535352147).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103311750 + ... + 103312122.

Almost surely, 2^38535352128 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 38535352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71646743168).

38535352128 is an abundant number, since it is smaller than the sum of its proper divisors (104758134208).

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

38535352128 is a wasteful number, since it uses less digits than its factorization.

38535352128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 471 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 38535352128 in words is "thirty-eight billion, five hundred thirty-five million, three hundred fifty-two thousand, one hundred twenty-eight".