338013840 has 80 divisors (see below), whose sum is σ = 1073431296. Its totient is φ = 87936000.

The previous prime is 338013817. The next prime is 338013869. The reversal of 338013840 is 48310833.

338013840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×338013840² = 228506712063091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 338013798 and 338013807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7336 + ... + 27015.

Almost surely, 2^338013840 is an apocalyptic number.

338013840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338013840 is an abundant number, since it is smaller than the sum of its proper divisors (735417456).

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

338013840 is a wasteful number, since it uses less digits than its factorization.

338013840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34408 (or 34402 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 338013840 is about 18385.1527053762. The cubic root of 338013840 is about 696.5914842468.

The spelling of 338013840 in words is "three hundred thirty-eight million, thirteen thousand, eight hundred forty".