336065730 has 384 divisors, whose sum is σ = 1179795456. Its totient is φ = 59097600.

The previous prime is 336065713. The next prime is 336065731. The reversal of 336065730 is 37560633.

It is a super-2 number, since 2×336065730² = 225880349760865800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 336065691 and 336065700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336065731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10840815 + ... + 10840845.

It is an arithmetic number, because the mean of its divisors is an integer number (3072384).

Almost surely, 2^336065730 is an apocalyptic number.

336065730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 336065730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589897728).

336065730 is an abundant number, since it is smaller than the sum of its proper divisors (843729726).

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

336065730 is a wasteful number, since it uses less digits than its factorization.

336065730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 33.

The square root of 336065730 is about 18332.0956248870. The cubic root of 336065730 is about 695.2506592023.

The spelling of 336065730 in words is "three hundred thirty-six million, sixty-five thousand, seven hundred thirty".