338024635872 has 768 divisors, whose sum is σ = 1174147301376. Its totient is φ = 83300659200.

The previous prime is 338024635847. The next prime is 338024635919. The reversal of 338024635872 is 278536420833.

It is a super-2 number, since 2×338024635872² (a number of 24 digits) 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 127 ways as a sum of consecutive naturals, for example, 2024099533 + ... + 2024099699.

It is an arithmetic number, because the mean of its divisors is an integer number (1528837632).

Almost surely, 2^338024635872 is an apocalyptic number.

338024635872 is a gapful number since it is divisible by the number (32) 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 338024635872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587073650688).

338024635872 is an abundant number, since it is smaller than the sum of its proper divisors (836122665504).

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

338024635872 is a wasteful number, since it uses less digits than its factorization.

338024635872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 338024635872 in words is "three hundred thirty-eight billion, twenty-four million, six hundred thirty-five thousand, eight hundred seventy-two".