339108228900 has 729 divisors, whose sum is σ = 1285095573489. Its totient is φ = 74575509120.

The previous prime is 339108228889. The next prime is 339108228913. The reversal of 339108228900 is 9822801933.

The square root of 339108228900 is 582330.

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

339108228900 is a `hidden beast` number, since 339 + 1 + 0 + 8 + 228 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122078962404 + 217029266496 = 349398^2 + 465864^2 .

It is a super-2 number, since 2×339108228900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 5747597071 + ... + 5747597129.

Almost surely, 2^339108228900 is an apocalyptic number.

339108228900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

339108228900 is the 582330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339108228900

339108228900 is an abundant number, since it is smaller than the sum of its proper divisors (945987344589).

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

339108228900 is a wasteful number, since it uses less digits than its factorization.

339108228900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 339108228900 in words is "three hundred thirty-nine billion, one hundred eight million, two hundred twenty-eight thousand, nine hundred".