3366123264 has 288 divisors, whose sum is σ = 11773440000. Its totient is φ = 928198656.

The previous prime is 3366123263. The next prime is 3366123281. The reversal of 3366123264 is 4623216633.

3366123264 is a `hidden beast` number, since 3 + 3 + 6 + 612 + 32 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3366123264² = 22661571656884027392, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366123263) 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 31 ways as a sum of consecutive naturals, for example, 1401937 + ... + 1404335.

It is an arithmetic number, because the mean of its divisors is an integer number (40880000).

Almost surely, 2^3366123264 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 3366123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886720000).

3366123264 is an abundant number, since it is smaller than the sum of its proper divisors (8407316736).

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

3366123264 is a wasteful number, since it uses less digits than its factorization.

3366123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2440 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 3366123264 is about 58018.3011126662. The cubic root of 3366123264 is about 1498.6837733695.

Adding to 3366123264 its reverse (4623216633), we get a palindrome (7989339897).

The spelling of 3366123264 in words is "three billion, three hundred sixty-six million, one hundred twenty-three thousand, two hundred sixty-four".