336706128 has 120 divisors (see below), whose sum is σ = 1061289216. Its totient is φ = 98726400.

The previous prime is 336706127. The next prime is 336706141. The reversal of 336706128 is 821607633.

It is a happy number.

336706128 is a `hidden beast` number, since 3 + 36 + 7 + 0 + 612 + 8 = 666.

It is a super-2 number, since 2×336706128² = 226742033265504768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 336706092 and 336706101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336706127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45676 + ... + 52532.

Almost surely, 2^336706128 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 336706128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530644608).

336706128 is an abundant number, since it is smaller than the sum of its proper divisors (724583088).

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

336706128 is a wasteful number, since it uses less digits than its factorization.

336706128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 336706128 is about 18349.5538910351. The cubic root of 336706128 is about 695.6919960999.

The spelling of 336706128 in words is "three hundred thirty-six million, seven hundred six thousand, one hundred twenty-eight".