38824039493760 has 256 divisors, whose sum is σ = 129261798639360. Its totient is φ = 9892999446528.

The previous prime is 38824039493753. The next prime is 38824039493791. The reversal of 38824039493760 is 6739493042883.

It is a super-2 number, since 2×38824039493760² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38824039493691 and 38824039493700.

It is an unprimeable number.

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, 43586614 + ... + 44468426.

It is an arithmetic number, because the mean of its divisors is an integer number (504928900935).

Almost surely, 2^{38824039493760} is an apocalyptic number.

38824039493760 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 38824039493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64630899319680).

38824039493760 is an abundant number, since it is smaller than the sum of its proper divisors (90437759145600).

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

38824039493760 is a wasteful number, since it uses less digits than its factorization.

38824039493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882855 (or 882843 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 66.

The spelling of 38824039493760 in words is "thirty-eight trillion, eight hundred twenty-four billion, thirty-nine million, four hundred ninety-three thousand, seven hundred sixty".