338352003 has 48 divisors (see below), whose sum is σ = 569327616. Its totient is φ = 191358720.

The previous prime is 338351999. The next prime is 338352041. The reversal of 338352003 is 300253833.

It is a happy number.

It is not a de Polignac number, because 338352003 - 2² = 338351999 is a prime.

It is a super-2 number, since 2×338352003² = 228964155868224018, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338352043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212950 + ... + 214532.

It is an arithmetic number, because the mean of its divisors is an integer number (11860992).

Almost surely, 2^338352003 is an apocalyptic number.

338352003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

338352003 is a deficient number, since it is larger than the sum of its proper divisors (230975613).

338352003 is a wasteful number, since it uses less digits than its factorization.

338352003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 338352003 is about 18394.3470392401. The cubic root of 338352003 is about 696.8237064487.

The spelling of 338352003 in words is "three hundred thirty-eight million, three hundred fifty-two thousand, three".