338061024 has 144 divisors (see below), whose sum is σ = 1117116000. Its totient is φ = 94970880.

The previous prime is 338061013. The next prime is 338061037. The reversal of 338061024 is 420160833.

It is a happy number.

338061024 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 (144).

It is a super-2 number, since 2×338061024² = 228570511895857152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121602 + ... + 124350.

It is an arithmetic number, because the mean of its divisors is an integer number (7757750).

Almost surely, 2^338061024 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 338061024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558558000).

338061024 is an abundant number, since it is smaller than the sum of its proper divisors (779054976).

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

338061024 is a wasteful number, since it uses less digits than its factorization.

338061024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 338061024 is about 18386.4358699559. The cubic root of 338061024 is about 696.6238955857.

The spelling of 338061024 in words is "three hundred thirty-eight million, sixty-one thousand, twenty-four".