338638749696 has 540 divisors, whose sum is σ = 1077618028032. Its totient is φ = 102409961472.

The previous prime is 338638749689. The next prime is 338638749719. The reversal of 338638749696 is 696947836833.

It is a happy number.

338638749696 is a `hidden beast` number, since 3 + 386 + 3 + 8 + 74 + 96 + 96 = 666.

It is a super-2 number, since 2×338638749696² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (846526464) is a multiple of the sum of its prime divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 2666446785 + ... + 2666446911.

Almost surely, 2^338638749696 is an apocalyptic number.

338638749696 is a gapful number since it is divisible by the number (36) 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 338638749696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538809014016).

338638749696 is an abundant number, since it is smaller than the sum of its proper divisors (738979278336).

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

338638749696 is a wasteful number, since it uses less digits than its factorization.

338638749696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 252 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 338638749696 in words is "three hundred thirty-eight billion, six hundred thirty-eight million, seven hundred forty-nine thousand, six hundred ninety-six".