338334007 has 8 divisors (see below), whose sum is σ = 388517760. Its totient is φ = 291387960.

The previous prime is 338334001. The next prime is 338334013. The reversal of 338334007 is 700433833.

It is an interprime number because it is at equal distance from previous prime (338334001) and next prime (338334013).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 338334007 - 2²⁷ = 204116279 is a prime.

It is a super-2 number, since 2×338334007² = 228939800585352098, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 338334007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338334001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 809203 + ... + 809620.

It is an arithmetic number, because the mean of its divisors is an integer number (48564720).

Almost surely, 2^338334007 is an apocalyptic number.

338334007 is a deficient number, since it is larger than the sum of its proper divisors (50183753).

338334007 is a wasteful number, since it uses less digits than its factorization.

338334007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618853.

The product of its (nonzero) digits is 18144, while the sum is 31.

The square root of 338334007 is about 18393.8578607099. The cubic root of 338334007 is about 696.8113521927.

The spelling of 338334007 in words is "three hundred thirty-eight million, three hundred thirty-four thousand, seven".