338817649 has 9 divisors (see below), whose sum is σ = 344639883. Its totient is φ = 333093072.

The previous prime is 338817641. The next prime is 338817653. The reversal of 338817649 is 946718833.

It is a happy number.

The square root of 338817649 is 18407.

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., 68807025 + 270010624 = 8295^2 + 16432^2 .

It is not a de Polignac number, because 338817649 - 2³ = 338817641 is a prime.

It is a super-2 number, since 2×338817649² = 229594798547774402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338817641) 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, 1454037 + ... + 1454269.

Almost surely, 2^338817649 is an apocalyptic number.

338817649 is the 18407-th square number.

338817649 is the 9204-th centered octagonal number.

It is an amenable number.

338817649 is a deficient number, since it is larger than the sum of its proper divisors (5822234).

338817649 is an frugal number, since it uses more digits than its factorization.

338817649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 312 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The cubic root of 338817649 is about 697.1432202823.

Multiplying 338817649 by its sum of digits (49), we get a square (16602064801 = 128849²).

The spelling of 338817649 in words is "three hundred thirty-eight million, eight hundred seventeen thousand, six hundred forty-nine".