338640001 has 32 divisors (see below), whose sum is σ = 410009600. Its totient is φ = 273637440.

The previous prime is 338639981. The next prime is 338640011. The reversal of 338640001 is 100046833.

It is a cyclic number.

It is not a de Polignac number, because 338640001 - 2²¹ = 336542849 is a prime.

It is a super-2 number, since 2×338640001² = 229354100554560002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338640011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2436190 + ... + 2436328.

It is an arithmetic number, because the mean of its divisors is an integer number (12812800).

Almost surely, 2^338640001 is an apocalyptic number.

338640001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

338640001 is the 10625-th hex number.

It is an amenable number.

338640001 is a deficient number, since it is larger than the sum of its proper divisors (71369599).

338640001 is a wasteful number, since it uses less digits than its factorization.

338640001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 338640001 is about 18402.1738118082. The cubic root of 338640001 is about 697.0213575336.

Adding to 338640001 its reverse (100046833), we get a palindrome (438686834).

The spelling of 338640001 in words is "three hundred thirty-eight million, six hundred forty thousand, one".