338661756 has 48 divisors (see below), whose sum is σ = 884961280. Its totient is φ = 111993840.

The previous prime is 338661749. The next prime is 338661761. The reversal of 338661756 is 657166833.

338661756 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338661756² = 229383569954007072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371 + ... + 26061.

Almost surely, 2^338661756 is an apocalyptic number.

338661756 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 338661756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442480640).

338661756 is an abundant number, since it is smaller than the sum of its proper divisors (546299524).

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

338661756 is a wasteful number, since it uses less digits than its factorization.

338661756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24831 (or 24823 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 338661756 is about 18402.7649009599. The cubic root of 338661756 is about 697.0362832905.

The spelling of 338661756 in words is "three hundred thirty-eight million, six hundred sixty-one thousand, seven hundred fifty-six".