338100345 has 128 divisors (see below), whose sum is σ = 721612800. Its totient is φ = 148262400.

The previous prime is 338100337. The next prime is 338100349. The reversal of 338100345 is 543001833.

It is a happy number.

It is not a de Polignac number, because 338100345 - 2³ = 338100337 is a prime.

It is a super-2 number, since 2×338100345² = 228623686578238050, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (338100349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 648685 + ... + 649205.

It is an arithmetic number, because the mean of its divisors is an integer number (5637600).

Almost surely, 2^338100345 is an apocalyptic number.

It is an amenable number.

338100345 is an abundant number, since it is smaller than the sum of its proper divisors (383512455).

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

338100345 is a wasteful number, since it uses less digits than its factorization.

338100345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

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

The square root of 338100345 is about 18387.5051325622. The cubic root of 338100345 is about 696.6509034179.

The spelling of 338100345 in words is "three hundred thirty-eight million, one hundred thousand, three hundred forty-five".