338707072 has 96 divisors (see below), whose sum is σ = 781401600. Its totient is φ = 145728000.

The previous prime is 338707069. The next prime is 338707081. The reversal of 338707072 is 270707833.

338707072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338707072² = 229444961245626368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293697 + ... + 294847.

It is an arithmetic number, because the mean of its divisors is an integer number (8139600).

Almost surely, 2^338707072 is an apocalyptic number.

338707072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390700800).

338707072 is an abundant number, since it is smaller than the sum of its proper divisors (442694528).

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

338707072 is a wasteful number, since it uses less digits than its factorization.

338707072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The square root of 338707072 is about 18403.9960878066. The cubic root of 338707072 is about 697.0673718195.

The spelling of 338707072 in words is "three hundred thirty-eight million, seven hundred seven thousand, seventy-two".