338498784 has 96 divisors (see below), whose sum is σ = 1063268640. Its totient is φ = 104150016.

The previous prime is 338498767. The next prime is 338498789. The reversal of 338498784 is 487894833.

338498784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×338498784² = 229162853538957312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 338498784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338498789) 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 15 ways as a sum of consecutive naturals, for example, 3837 + ... + 26300.

It is an arithmetic number, because the mean of its divisors is an integer number (11075715).

Almost surely, 2^338498784 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 338498784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531634320).

338498784 is an abundant number, since it is smaller than the sum of its proper divisors (724769856).

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

338498784 is a wasteful number, since it uses less digits than its factorization.

338498784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30169 (or 30155 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 338498784 is about 18398.3364465378. The cubic root of 338498784 is about 696.9244552675.

The spelling of 338498784 in words is "three hundred thirty-eight million, four hundred ninety-eight thousand, seven hundred eighty-four".