338574432 has 96 divisors (see below), whose sum is σ = 1039433472. Its totient is φ = 94477824.

The previous prime is 338574427. The next prime is 338574463. The reversal of 338574432 is 234475833.

338574432 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 2×338574432² = 229265292008245248, 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 15 ways as a sum of consecutive naturals, for example, 23038 + ... + 34754.

It is an arithmetic number, because the mean of its divisors is an integer number (10827432).

Almost surely, 2^338574432 is an apocalyptic number.

338574432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338574432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519716736).

338574432 is an abundant number, since it is smaller than the sum of its proper divisors (700859040).

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

338574432 is a wasteful number, since it uses less digits than its factorization.

338574432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11780 (or 11772 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 338574432 is about 18400.3921697338. The cubic root of 338574432 is about 696.9763678265.

The spelling of 338574432 in words is "three hundred thirty-eight million, five hundred seventy-four thousand, four hundred thirty-two".