338724720 has 80 divisors (see below), whose sum is σ = 1166725920. Its totient is φ = 90326016.

The previous prime is 338724719. The next prime is 338724769. The reversal of 338724720 is 27427833.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×338724720² = 229468871878156800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76249 + ... + 80568.

It is an arithmetic number, because the mean of its divisors is an integer number (14584074).

Almost surely, 2^338724720 is an apocalyptic number.

338724720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338724720 is an abundant number, since it is smaller than the sum of its proper divisors (828001200).

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

338724720 is a wasteful number, since it uses less digits than its factorization.

338724720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156839 (or 156827 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 338724720 is about 18404.4755426499. The cubic root of 338724720 is about 697.0794782799.

The spelling of 338724720 in words is "three hundred thirty-eight million, seven hundred twenty-four thousand, seven hundred twenty".