336461320 has 64 divisors (see below), whose sum is σ = 819065520. Its totient is φ = 123654144.

The previous prime is 336461303. The next prime is 336461327. The reversal of 336461320 is 23164633.

It can be written as a sum of positive squares in 8 ways, for example, as 9647236 + 326814084 = 3106^2 + 18078^2 .

It is a super-2 number, since 2×336461320² = 226412439712284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336461327) 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 15 ways as a sum of consecutive naturals, for example, 119772 + ... + 122548.

Almost surely, 2^336461320 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 336461320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409532760).

336461320 is an abundant number, since it is smaller than the sum of its proper divisors (482604200).

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

336461320 is a wasteful number, since it uses less digits than its factorization.

336461320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 336461320 is about 18342.8819982030. The cubic root of 336461320 is about 695.5233502645.

It can be divided in two parts, 3364613 and 20, that added together give a palindrome (3364633).

The spelling of 336461320 in words is "three hundred thirty-six million, four hundred sixty-one thousand, three hundred twenty".