338359840 has 192 divisors, whose sum is σ = 1042481664. Its totient is φ = 100712448.

The previous prime is 338359837. The next prime is 338359843. The reversal of 338359840 is 48953833.

It is an interprime number because it is at equal distance from previous prime (338359837) and next prime (338359843).

It is a super-2 number, since 2×338359840² = 228974762649651200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (338359843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246837 + ... + 248203.

It is an arithmetic number, because the mean of its divisors is an integer number (5429592).

Almost surely, 2^338359840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338359840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521240832).

338359840 is an abundant number, since it is smaller than the sum of its proper divisors (704121824).

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

338359840 is a wasteful number, since it uses less digits than its factorization.

338359840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 338359840 is about 18394.5600654106. The cubic root of 338359840 is about 696.8290864131.

The spelling of 338359840 in words is "three hundred thirty-eight million, three hundred fifty-nine thousand, eight hundred forty".