12338352 has 100 divisors (see below), whose sum is σ = 38366840. Its totient is φ = 3796416.

The previous prime is 12338351. The next prime is 12338371. The reversal of 12338352 is 25383321.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4320) is a multiple of the sum of its prime divisors (18).

It is not an unprimeable number, because it can be changed into a prime (12338351) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 949098 + ... + 949110.

Almost surely, 2^12338352 is an apocalyptic number.

12338352 is a gapful number since it is divisible by the number (12) 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 12338352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19183420).

12338352 is an abundant number, since it is smaller than the sum of its proper divisors (26028488).

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

12338352 is an frugal number, since it uses more digits than its factorization.

12338352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 18 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 12338352 is about 3512.5990377497. The cubic root of 12338352 is about 231.0746933358.

Multiplying 12338352 by its sum of digits (27), we get a square (333135504 = 18252²).

12338352 divided by its sum of digits (27) gives a 4-th power (456976 = 26⁴).

The spelling of 12338352 in words is "twelve million, three hundred thirty-eight thousand, three hundred fifty-two".