3053406564 has 96 divisors (see below), whose sum is σ = 8633408000. Its totient is φ = 927583488.

The previous prime is 3053406563. The next prime is 3053406583. The reversal of 3053406564 is 4656043503.

3053406564 is a `hidden beast` number, since 3 + 0 + 53 + 40 + 6 + 564 = 666.

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 (3053406563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97152 + ... + 124680.

Almost surely, 2^3053406564 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 3053406564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316704000).

3053406564 is an abundant number, since it is smaller than the sum of its proper divisors (5580001436).

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

3053406564 is a wasteful number, since it uses less digits than its factorization.

3053406564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27634 (or 27626 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3053406564 is about 55257.6380602718. The cubic root of 3053406564 is about 1450.7576799559.

The spelling of 3053406564 in words is "three billion, fifty-three million, four hundred six thousand, five hundred sixty-four".