338083746 has 128 divisors (see below), whose sum is σ = 915812352. Its totient is φ = 80352000.

The previous prime is 338083741. The next prime is 338083787. The reversal of 338083746 is 647380833.

338083746 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 2×338083746² = 228601238618785032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 338083698 and 338083707.

It is not an unprimeable number, because it can be changed into a prime (338083741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1086931 + ... + 1087241.

It is an arithmetic number, because the mean of its divisors is an integer number (7154784).

Almost surely, 2^338083746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338083746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457906176).

338083746 is an abundant number, since it is smaller than the sum of its proper divisors (577728606).

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

338083746 is a wasteful number, since it uses less digits than its factorization.

338083746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528.

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 338083746 is about 18387.0537607307. The cubic root of 338083746 is about 696.6395025643.

The spelling of 338083746 in words is "three hundred thirty-eight million, eighty-three thousand, seven hundred forty-six".