38319677903521 has 27 divisors (see below), whose sum is σ = 46599513251571. Its totient is φ = 31416558554304.

The previous prime is 38319677903497. The next prime is 38319677903531. The reversal of 38319677903521 is 12530977691383.

The square root of 38319677903521 is 6190289.

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

38319677903521 is digitally balanced in base 2, 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., 336122817121 + 37983555086400 = 579761^2 + 6163080^2 .

It is not a de Polignac number, because 38319677903521 - 2¹⁵ = 38319677870753 is a prime.

It is a super-3 number, since 3×38319677903521³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (38319677903531) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 996617305 + ... + 996655753.

Almost surely, 2^{38319677903521} is an apocalyptic number.

38319677903521 is the 6190289-th square number.

38319677903521 is the 3095145-th centered octagonal number.

It is an amenable number.

38319677903521 is a deficient number, since it is larger than the sum of its proper divisors (8279835348050).

38319677903521 is an frugal number, since it uses more digits than its factorization.

38319677903521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76958 (or 38479 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 64.

The spelling of 38319677903521 in words is "thirty-eight trillion, three hundred nineteen billion, six hundred seventy-seven million, nine hundred three thousand, five hundred twenty-one".