38900169 has 81 divisors (see below), whose sum is σ = 74604621. Its totient is φ = 20207880.

The previous prime is 38900159. The next prime is 38900179. The reversal of 38900169 is 96100983.

The square root of 38900169 is 6237.

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

It is an interprime number because it is at equal distance from previous prime (38900159) and next prime (38900179).

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 38900169 - 2⁷ = 38900041 is a prime.

It is a super-2 number, since 2×38900169² = 3026446296457122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38900129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3536374 + ... + 3536384.

Almost surely, 2^38900169 is an apocalyptic number.

38900169 is the 6237-th square number.

38900169 is the 3119-th centered octagonal number.

It is an amenable number.

38900169 is a deficient number, since it is larger than the sum of its proper divisors (35704452).

38900169 is an frugal number, since it uses more digits than its factorization.

38900169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 38900169 is about 338.8315397635.

Multiplying 38900169 by its sum of digits (36), we get a square (1400406084 = 37422²).

Multiplying 38900169 by its product of nonzero digits (11664), we get a square (453731571216 = 673596²).

The spelling of 38900169 in words is "thirty-eight million, nine hundred thousand, one hundred sixty-nine".