38064517092 has 144 divisors (see below), whose sum is σ = 114912645120. Its totient is φ = 10387548864.

The previous prime is 38064517087. The next prime is 38064517109. The reversal of 38064517092 is 29071546083.

It is a super-2 number, since 2×38064517092² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4302009 + ... + 4310847.

It is an arithmetic number, because the mean of its divisors is an integer number (798004480).

It is a 1-persistent number, because it is pandigital, but 2⋅38064517092 = 76129034184 is not.

Almost surely, 2^38064517092 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 38064517092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456322560).

38064517092 is an abundant number, since it is smaller than the sum of its proper divisors (76848128028).

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

38064517092 is a wasteful number, since it uses less digits than its factorization.

38064517092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9622 (or 9617 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 38064517092 in words is "thirty-eight billion, sixty-four million, five hundred seventeen thousand, ninety-two".