38864701032336 has 225 divisors, whose sum is σ = 113309481772641. Its totient is φ = 12860714715264.

The previous prime is 38864701032253. The next prime is 38864701032343. The reversal of 38864701032336 is 63323010746883.

The square root of 38864701032336 is 6234156.

It is a perfect power (a square), and thus also a powerful number.

38864701032336 is a `hidden beast` number, since 3 + 88 + 64 + 70 + 103 + 2 + 336 = 666.

38864701032336 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11391840032400 + 27472860999936 = 3375180^2 + 5241456^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35235449161 + ... + 35235450263.

Almost surely, 2^{38864701032336} is an apocalyptic number.

38864701032336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38864701032336 is the 6234156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38864701032336

38864701032336 is an abundant number, since it is smaller than the sum of its proper divisors (74444780740305).

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

38864701032336 is an frugal number, since it uses more digits than its factorization.

38864701032336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 38864701032336 in words is "thirty-eight trillion, eight hundred sixty-four billion, seven hundred one million, thirty-two thousand, three hundred thirty-six".