338635949400 has 768 divisors, whose sum is σ = 1394910720000. Its totient is φ = 73892044800.

The previous prime is 338635949389. The next prime is 338635949413. The reversal of 338635949400 is 4949536833.

338635949400 is a `hidden beast` number, since 3 + 3 + 8 + 6 + 3 + 594 + 9 + 40 + 0 = 666.

It is a super-2 number, since 2×338635949400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72838276 + ... + 72842924.

It is an arithmetic number, because the mean of its divisors is an integer number (1816290000).

Almost surely, 2^338635949400 is an apocalyptic number.

338635949400 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 338635949400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697455360000).

338635949400 is an abundant number, since it is smaller than the sum of its proper divisors (1056274770600).

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

338635949400 is a wasteful number, since it uses less digits than its factorization.

338635949400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 338635949400 in words is "three hundred thirty-eight billion, six hundred thirty-five million, nine hundred forty-nine thousand, four hundred".