338378472 has 112 divisors (see below), whose sum is σ = 1007505540. Its totient is φ = 106126848.

The previous prime is 338378471. The next prime is 338378473. The reversal of 338378472 is 274873833.

338378472 is a `hidden beast` number, since 33 + 83 + 78 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (338378471) and next prime (338378473).

It can be written as a sum of positive squares in 2 ways, for example, as 282038436 + 56340036 = 16794^2 + 7506^2 .

It is a super-2 number, since 2×338378472² = 228999980626109568, which contains 22 as substring.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (338378471) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 97438 + ... + 100850.

Almost surely, 2^338378472 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 338378472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503752770).

338378472 is an abundant number, since it is smaller than the sum of its proper divisors (669127068).

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

338378472 is a wasteful number, since it uses less digits than its factorization.

338378472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3435 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 338378472 is about 18395.0665125191. The cubic root of 338378472 is about 696.8418766241.

The spelling of 338378472 in words is "three hundred thirty-eight million, three hundred seventy-eight thousand, four hundred seventy-two".