338681952 has 192 divisors, whose sum is σ = 1168473600. Its totient is φ = 93381120.

The previous prime is 338681933. The next prime is 338681989. The reversal of 338681952 is 259186833.

It is a happy number.

It is a super-2 number, since 2×338681952² = 229410929221060608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338681898 and 338681907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174427 + ... + 176357.

It is an arithmetic number, because the mean of its divisors is an integer number (6085800).

Almost surely, 2^338681952 is an apocalyptic number.

338681952 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 338681952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584236800).

338681952 is an abundant number, since it is smaller than the sum of its proper divisors (829791648).

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

338681952 is a wasteful number, since it uses less digits than its factorization.

338681952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1972 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 338681952 is about 18403.3136146728. The cubic root of 338681952 is about 697.0501388703.

The spelling of 338681952 in words is "three hundred thirty-eight million, six hundred eighty-one thousand, nine hundred fifty-two".