38584670351136 has 576 divisors, whose sum is σ = 134262371819520. Its totient is φ = 9590059100160.

The previous prime is 38584670351083. The next prime is 38584670351179. The reversal of 38584670351136 is 63115307648583.

It is a super-2 number, since 2×38584670351136² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38584670351136.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221833675 + ... + 222007541.

It is an arithmetic number, because the mean of its divisors is an integer number (233094395520).

Almost surely, 2^{38584670351136} 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 38584670351136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67131185909760).

38584670351136 is an abundant number, since it is smaller than the sum of its proper divisors (95677701468384).

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

38584670351136 is a wasteful number, since it uses less digits than its factorization.

38584670351136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174117 (or 174102 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 38584670351136 in words is "thirty-eight trillion, five hundred eighty-four billion, six hundred seventy million, three hundred fifty-one thousand, one hundred thirty-six".