38276325336960 has 768 divisors, whose sum is σ = 139453521592320. Its totient is φ = 9661549363200.

The previous prime is 38276325336959. The next prime is 38276325336983. The reversal of 38276325336960 is 6963352367283.

38276325336960 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 6 + 3 + 2 + 533 + 6 + 96 + 0 = 666.

38276325336960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×38276325336960³ (a number of 42 digits) contains 333 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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1610063634 + ... + 1610087406.

It is an arithmetic number, because the mean of its divisors is an integer number (181580106240).

Almost surely, 2^{38276325336960} is an apocalyptic number.

38276325336960 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 38276325336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69726760796160).

38276325336960 is an abundant number, since it is smaller than the sum of its proper divisors (101177196255360).

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

38276325336960 is a wasteful number, since it uses less digits than its factorization.

38276325336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24027 (or 24012 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 63.

The spelling of 38276325336960 in words is "thirty-eight trillion, two hundred seventy-six billion, three hundred twenty-five million, three hundred thirty-six thousand, nine hundred sixty".