3300542336 has 128 divisors (see below), whose sum is σ = 8143027200. Its totient is φ = 1297594368.

The previous prime is 3300542303. The next prime is 3300542341. The reversal of 3300542336 is 6332450033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3300542299 and 3300542308.

It is a congruent number.

It is an unprimeable number.

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, 2084201 + ... + 2085783.

It is an arithmetic number, because the mean of its divisors is an integer number (63617400).

Almost surely, 2^3300542336 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 3300542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071513600).

3300542336 is an abundant number, since it is smaller than the sum of its proper divisors (4842484864).

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

3300542336 is a wasteful number, since it uses less digits than its factorization.

3300542336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 29.

The square root of 3300542336 is about 57450.3467004334. The cubic root of 3300542336 is about 1488.8871073599.

Adding to 3300542336 its reverse (6332450033), we get a palindrome (9632992369).

The spelling of 3300542336 in words is "three billion, three hundred million, five hundred forty-two thousand, three hundred thirty-six".