338406677952 has 224 divisors, whose sum is σ = 1069674580992. Its totient is φ = 92318662656.

The previous prime is 338406677923. The next prime is 338406677957. The reversal of 338406677952 is 259776604833.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×338406677952² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338406677957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17826738 + ... + 17845710.

Almost surely, 2^338406677952 is an apocalyptic number.

338406677952 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 338406677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534837290496).

338406677952 is an abundant number, since it is smaller than the sum of its proper divisors (731267903040).

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

338406677952 is a wasteful number, since it uses less digits than its factorization.

338406677952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19595 (or 19585 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 338406677952 in words is "three hundred thirty-eight billion, four hundred six million, six hundred seventy-seven thousand, nine hundred fifty-two".