338774724 has 90 divisors (see below), whose sum is σ = 903584682. Its totient is φ = 110678400.

The previous prime is 338774717. The next prime is 338774729. The reversal of 338774724 is 427477833.

It can be written as a sum of positive squares in 3 ways, for example, as 4981824 + 333792900 = 2232^2 + 18270^2 .

It is a super-2 number, since 2×338774724² = 229536627242552352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338774724.

It is not an unprimeable number, because it can be changed into a prime (338774729) 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 29 ways as a sum of consecutive naturals, for example, 1205464 + ... + 1205744.

Almost surely, 2^338774724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338774724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451792341).

338774724 is an abundant number, since it is smaller than the sum of its proper divisors (564809958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338774724 is a wasteful number, since it uses less digits than its factorization.

338774724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 347 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 338774724 is about 18405.8339664358. The cubic root of 338774724 is about 697.1137785490.

The spelling of 338774724 in words is "three hundred thirty-eight million, seven hundred seventy-four thousand, seven hundred twenty-four".