3300265656 has 72 divisors (see below), whose sum is σ = 9257231880. Its totient is φ = 1062134976.

The previous prime is 3300265649. The next prime is 3300265663. The reversal of 3300265656 is 6565620033.

3300265656 is a `hidden beast` number, since 330 + 0 + 265 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3300265649) and next prime (3300265663).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3300265656² = 21783506800346220672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3300265656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33301 + ... + 87803.

It is an arithmetic number, because the mean of its divisors is an integer number (128572665).

Almost surely, 2^3300265656 is an apocalyptic number.

3300265656 is a gapful number since it is divisible by the number (36) 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 3300265656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628615940).

3300265656 is an abundant number, since it is smaller than the sum of its proper divisors (5956966224).

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

3300265656 is a wasteful number, since it uses less digits than its factorization.

3300265656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54573 (or 54537 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 3300265656 is about 57447.9386575358. The cubic root of 3300265656 is about 1488.8455023998.

Adding to 3300265656 its reverse (6565620033), we get a palindrome (9865885689).

The spelling of 3300265656 in words is "three billion, three hundred million, two hundred sixty-five thousand, six hundred fifty-six".