336128000 has 192 divisors, whose sum is σ = 912234960. Its totient is φ = 122880000.

The previous prime is 336127969. The next prime is 336128047. The reversal of 336128000 is 821633.

It can be written as a sum of positive squares in 8 ways, for example, as 25240576 + 310887424 = 5024^2 + 17632^2 .

It is a super-2 number, since 2×336128000² = 225964064768000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3327950 + ... + 3328050.

Almost surely, 2^336128000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456117480).

336128000 is an abundant number, since it is smaller than the sum of its proper divisors (576106960).

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

336128000 is a wasteful number, since it uses less digits than its factorization.

336128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 336128000 is about 18333.7939336080. The cubic root of 336128000 is about 695.2935978113.

Adding to 336128000 its reverse (821633), we get a palindrome (336949633).

The spelling of 336128000 in words is "three hundred thirty-six million, one hundred twenty-eight thousand".