38018370289 has 9 divisors (see below), whose sum is σ = 38560740939. Its totient is φ = 37483531920.

The previous prime is 38018370287. The next prime is 38018370301. The reversal of 38018370289 is 98207381083.

The square root of 38018370289 is 194983.

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

It can be written as a sum of positive squares in only one way, i.e., 21581079025 + 16437291264 = 146905^2 + 128208^2 .

It is not a de Polignac number, because 38018370289 - 2¹ = 38018370287 is a prime.

It is a super-3 number, since 3×38018370289³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38018370287) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14232424 + ... + 14235094.

It is an arithmetic number, because the mean of its divisors is an integer number (4284526771).

Almost surely, 2^38018370289 is an apocalyptic number.

38018370289 is the 194983-rd square number.

38018370289 is the 97492-nd centered octagonal number.

It is an amenable number.

38018370289 is a deficient number, since it is larger than the sum of its proper divisors (542370650).

38018370289 is an frugal number, since it uses more digits than its factorization.

38018370289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 38018370289 by its sum of digits (49), we get a square (1862900144161 = 1364881²).

The spelling of 38018370289 in words is "thirty-eight billion, eighteen million, three hundred seventy thousand, two hundred eighty-nine".