336616032 has 96 divisors (see below), whose sum is σ = 902210400. Its totient is φ = 109875200.

The previous prime is 336616013. The next prime is 336616037. The reversal of 336616032 is 230616633.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×336616032² = 226620705998850048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336616037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444588 + ... + 1444820.

It is an arithmetic number, because the mean of its divisors is an integer number (9398025).

Almost surely, 2^336616032 is an apocalyptic number.

336616032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336616032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451105200).

336616032 is an abundant number, since it is smaller than the sum of its proper divisors (565594368).

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

336616032 is a wasteful number, since it uses less digits than its factorization.

336616032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 336616032 is about 18347.0987352224. The cubic root of 336616032 is about 695.6299393564.

It can be divided in two parts, 33661 and 6032, that added together give a palindrome (39693).

The spelling of 336616032 in words is "three hundred thirty-six million, six hundred sixteen thousand, thirty-two".