38560865280 has 704 divisors, whose sum is σ = 152128585728. Its totient is φ = 8142520320.

The previous prime is 38560865209. The next prime is 38560865293. The reversal of 38560865280 is 8256806583.

It is a super-2 number, since 2×38560865280² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76661509 + ... + 76662011.

Almost surely, 2^38560865280 is an apocalyptic number.

38560865280 is a gapful number since it is divisible by the number (30) 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 38560865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76064292864).

38560865280 is an abundant number, since it is smaller than the sum of its proper divisors (113567720448).

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

38560865280 is a wasteful number, since it uses less digits than its factorization.

38560865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

It can be divided in two parts, 38560 and 865280, that added together give a triangular number (903840 = T₁₃₄₄).

The spelling of 38560865280 in words is "thirty-eight billion, five hundred sixty million, eight hundred sixty-five thousand, two hundred eighty".