338131640 has 128 divisors (see below), whose sum is σ = 954270720. Its totient is φ = 104755200.

The previous prime is 338131639. The next prime is 338131681. The reversal of 338131640 is 46131833.

It is a super-2 number, since 2×338131640² = 228666011938179200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957704 + ... + 958056.

It is an arithmetic number, because the mean of its divisors is an integer number (7455240).

Almost surely, 2^338131640 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 338131640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477135360).

338131640 is an abundant number, since it is smaller than the sum of its proper divisors (616139080).

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

338131640 is a wasteful number, since it uses less digits than its factorization.

338131640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 338131640 is about 18388.3560983575. The cubic root of 338131640 is about 696.6723970541.

It can be divided in two parts, 33813 and 1640, that added together give a palindrome (35453).

The spelling of 338131640 in words is "three hundred thirty-eight million, one hundred thirty-one thousand, six hundred forty".