38584352041 has 3 divisors (see below), whose sum is σ = 38584548471. Its totient is φ = 38584155612.

The previous prime is 38584352003. The next prime is 38584352111. The reversal of 38584352041 is 14025348583.

The square root of 38584352041 is 196429.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 14025348583 = 16339 ⋅858397.

It can be written as a sum of positive squares in only one way, i.e., 14491103641 + 24093248400 = 120379^2 + 155220^2 .

It is not a de Polignac number, because 38584352041 - 2⁷ = 38584351913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32584352041) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 98215 + ... + 294643.

It is an arithmetic number, because the mean of its divisors is an integer number (12861516157).

Almost surely, 2^38584352041 is an apocalyptic number.

38584352041 is the 196429-th square number.

38584352041 is the 98215-th centered octagonal number.

It is an amenable number.

38584352041 is a deficient number, since it is larger than the sum of its proper divisors (196430).

38584352041 is an frugal number, since it uses more digits than its factorization.

38584352041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392858 (or 196429 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

It can be divided in two parts, 38584 and 352041, that added together give a 8-th power (390625 = 5⁸).

The spelling of 38584352041 in words is "thirty-eight billion, five hundred eighty-four million, three hundred fifty-two thousand, forty-one".