338787342264 has 256 divisors, whose sum is σ = 1070734049280. Its totient is φ = 87099586560.

The previous prime is 338787342227. The next prime is 338787342293. The reversal of 338787342264 is 462243787833.

It is a happy number.

338787342264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338787342264² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7325437 + ... + 7371539.

It is an arithmetic number, because the mean of its divisors is an integer number (4182554880).

Almost surely, 2^338787342264 is an apocalyptic number.

338787342264 is a gapful number since it is divisible by the number (34) 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 338787342264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535367024640).

338787342264 is an abundant number, since it is smaller than the sum of its proper divisors (731946707016).

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

338787342264 is a wasteful number, since it uses less digits than its factorization.

338787342264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46250 (or 46246 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 57.

The spelling of 338787342264 in words is "three hundred thirty-eight billion, seven hundred eighty-seven million, three hundred forty-two thousand, two hundred sixty-four".