338941440 has 240 divisors, whose sum is σ = 1202655168. Its totient is φ = 88178688.

The previous prime is 338941429. The next prime is 338941453. The reversal of 338941440 is 44149833.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×338941440² = 229762599498547200, 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 = 338941395 and 338941404.

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 23 ways as a sum of consecutive naturals, for example, 1082724 + ... + 1083036.

Almost surely, 2^338941440 is an apocalyptic number.

338941440 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 338941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601327584).

338941440 is an abundant number, since it is smaller than the sum of its proper divisors (863713728).

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

338941440 is a wasteful number, since it uses less digits than its factorization.

338941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 338941440 is about 18410.3622995312. The cubic root of 338941440 is about 697.2281130936.

The spelling of 338941440 in words is "three hundred thirty-eight million, nine hundred forty-one thousand, four hundred forty".