3300135264 has 192 divisors, whose sum is σ = 10033632000. Its totient is φ = 1054356480.

The previous prime is 3300135253. The next prime is 3300135277. The reversal of 3300135264 is 4625310033.

It is a happy number.

3300135264 is a `hidden beast` number, since 3 + 300 + 1 + 352 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2089227 + ... + 2090805.

It is an arithmetic number, because the mean of its divisors is an integer number (52258500).

Almost surely, 2^3300135264 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 3300135264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016816000).

3300135264 is an abundant number, since it is smaller than the sum of its proper divisors (6733496736).

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

3300135264 is a wasteful number, since it uses less digits than its factorization.

3300135264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3300135264 is about 57446.8037753190. The cubic root of 3300135264 is about 1488.8258942713.

Adding to 3300135264 its reverse (4625310033), we get a palindrome (7925445297).

It can be divided in two parts, 33001 and 35264, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 3300135264 in words is "three billion, three hundred million, one hundred thirty-five thousand, two hundred sixty-four".