338444640 has 144 divisors (see below), whose sum is σ = 1167330528. Its totient is φ = 89284608.

The previous prime is 338444599. The next prime is 338444651. The reversal of 338444640 is 46444833.

338444640 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×338444640² = 229089548689459200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 338444595 and 338444604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138469 + ... + 140891.

It is an arithmetic number, because the mean of its divisors is an integer number (8106462).

Almost surely, 2^338444640 is an apocalyptic number.

338444640 is a gapful number since it is divisible by the number (30) 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 338444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583665264).

338444640 is an abundant number, since it is smaller than the sum of its proper divisors (828885888).

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

338444640 is a wasteful number, since it uses less digits than its factorization.

338444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 338444640 is about 18396.8649503115. The cubic root of 338444640 is about 696.8872948289.

The spelling of 338444640 in words is "three hundred thirty-eight million, four hundred forty-four thousand, six hundred forty".