338864715 has 128 divisors (see below), whose sum is σ = 736819200. Its totient is φ = 146126592.

The previous prime is 338864711. The next prime is 338864737. The reversal of 338864715 is 517468833.

It is not a de Polignac number, because 338864715 - 2² = 338864711 is a prime.

It is a super-2 number, since 2×338864715² = 229658590144062450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (338864711) 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 127 ways as a sum of consecutive naturals, for example, 1454239 + ... + 1454471.

It is an arithmetic number, because the mean of its divisors is an integer number (5756400).

Almost surely, 2^338864715 is an apocalyptic number.

338864715 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

338864715 is an abundant number, since it is smaller than the sum of its proper divisors (397954485).

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

338864715 is an equidigital number, since it uses as much as digits as its factorization.

338864715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 267 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 338864715 is about 18408.2784366165. The cubic root of 338864715 is about 697.1754994190.

The spelling of 338864715 in words is "three hundred thirty-eight million, eight hundred sixty-four thousand, seven hundred fifteen".