338749440 has 96 divisors (see below), whose sum is σ = 1083831840. Its totient is φ = 90324992.

The previous prime is 338749427. The next prime is 338749469. The reversal of 338749440 is 44947833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×338749440² = 229502366200627200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338749392 and 338749401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25207 + ... + 36233.

It is an arithmetic number, because the mean of its divisors is an integer number (11289915).

Almost surely, 2^338749440 is an apocalyptic number.

338749440 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 338749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541915920).

338749440 is an abundant number, since it is smaller than the sum of its proper divisors (745082400).

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

338749440 is a wasteful number, since it uses less digits than its factorization.

338749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11057 (or 11037 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 338749440 is about 18405.1471061766. The cubic root of 338749440 is about 697.0964353983.

The spelling of 338749440 in words is "three hundred thirty-eight million, seven hundred forty-nine thousand, four hundred forty".