338585940 has 384 divisors, whose sum is σ = 1393459200. Its totient is φ = 66078720.

The previous prime is 338585911. The next prime is 338585953. The reversal of 338585940 is 49585833.

It is a happy number.

338585940 is a `hidden beast` number, since 3 + 3 + 8 + 58 + 594 + 0 = 666.

It is a super-2 number, since 2×338585940² = 229280877531367200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 706621 + ... + 707099.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2^338585940 is an apocalyptic number.

338585940 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 338585940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

338585940 is an abundant number, since it is smaller than the sum of its proper divisors (1054873260).

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

338585940 is a wasteful number, since it uses less digits than its factorization.

338585940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 338585940 is about 18400.7048778029. The cubic root of 338585940 is about 696.9842643798.

The spelling of 338585940 in words is "three hundred thirty-eight million, five hundred eighty-five thousand, nine hundred forty".