3364510464 has 216 divisors, whose sum is σ = 11147485440. Its totient is φ = 956012544.

The previous prime is 3364510453. The next prime is 3364510469. The reversal of 3364510464 is 4640154633.

3364510464 is a `hidden beast` number, since 3 + 3 + 645 + 1 + 0 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×3364510464² = 22639861324730990592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3364510469) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3660597 + ... + 3661515.

Almost surely, 2^3364510464 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 3364510464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573742720).

3364510464 is an abundant number, since it is smaller than the sum of its proper divisors (7782974976).

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

3364510464 is a wasteful number, since it uses less digits than its factorization.

3364510464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3364510464 is about 58004.4003847984. The cubic root of 3364510464 is about 1498.4443819260. Note that the first 3 decimals are identical.

The spelling of 3364510464 in words is "three billion, three hundred sixty-four million, five hundred ten thousand, four hundred sixty-four".