338810472 has 256 divisors, whose sum is σ = 1264435200. Its totient is φ = 81181440.

The previous prime is 338810431. The next prime is 338810543. The reversal of 338810472 is 274018833.

It is a super-2 number, since 2×338810472² = 229585071873725568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215433 + ... + 216999.

It is an arithmetic number, because the mean of its divisors is an integer number (4939200).

Almost surely, 2^338810472 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 338810472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632217600).

338810472 is an abundant number, since it is smaller than the sum of its proper divisors (925624728).

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

338810472 is a wasteful number, since it uses less digits than its factorization.

338810472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 338810472 is about 18406.8050459606. The cubic root of 338810472 is about 697.1382978388.

The spelling of 338810472 in words is "three hundred thirty-eight million, eight hundred ten thousand, four hundred seventy-two".