38406528861568 has 256 divisors, whose sum is σ = 97245722880000. Its totient is φ = 14735569379328.

The previous prime is 38406528861563. The next prime is 38406528861733. The reversal of 38406528861568 is 86516882560483.

It is a super-2 number, since 2×38406528861568² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38406528861497 and 38406528861506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38406528861563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22376118 + ... + 24031306.

It is an arithmetic number, because the mean of its divisors is an integer number (379866105000).

Almost surely, 2^{38406528861568} is an apocalyptic number.

38406528861568 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 38406528861568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48622861440000).

38406528861568 is an abundant number, since it is smaller than the sum of its proper divisors (58839194018432).

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

38406528861568 is a wasteful number, since it uses less digits than its factorization.

38406528861568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655305 (or 1655293 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 70.

The spelling of 38406528861568 in words is "thirty-eight trillion, four hundred six billion, five hundred twenty-eight million, eight hundred sixty-one thousand, five hundred sixty-eight".