338192100 has 81 divisors (see below), whose sum is σ = 1061776443. Its totient is φ = 90037440.

The previous prime is 338192093. The next prime is 338192111. The reversal of 338192100 is 1291833.

The square root of 338192100 is 18390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 197627364 + 140564736 = 14058^2 + 11856^2 .

It is a super-2 number, since 2×338192100² = 228747793004820000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 551394 + ... + 552006.

Almost surely, 2^338192100 is an apocalyptic number.

338192100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

338192100 is the 18390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338192100

338192100 is an abundant number, since it is smaller than the sum of its proper divisors (723584343).

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

338192100 is a wasteful number, since it uses less digits than its factorization.

338192100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 338192100 is about 696.7139176710.

Multiplying 338192100 by its product of nonzero digits (1296), we get a square (438296961600 = 662040²).

It can be divided in two parts, 3381 and 92100, that added together give a square (95481 = 309²).

The spelling of 338192100 in words is "three hundred thirty-eight million, one hundred ninety-two thousand, one hundred".