4306405644 has 144 divisors (see below), whose sum is σ = 11887948800. Its totient is φ = 1310580480.

The previous prime is 4306405633. The next prime is 4306405669. The reversal of 4306405644 is 4465046034.

4306405644 is a `hidden beast` number, since 4 + 3 + 0 + 6 + 4 + 0 + 5 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4306405599 and 4306405608.

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 47 ways as a sum of consecutive naturals, for example, 1594207 + ... + 1596905.

It is an arithmetic number, because the mean of its divisors is an integer number (82555200).

Almost surely, 2^4306405644 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 4306405644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943974400).

4306405644 is an abundant number, since it is smaller than the sum of its proper divisors (7581543156).

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

4306405644 is a wasteful number, since it uses less digits than its factorization.

4306405644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4306405644 is about 65623.2096441495. The cubic root of 4306405644 is about 1626.9404063378.

The spelling of 4306405644 in words is "four billion, three hundred six million, four hundred five thousand, six hundred forty-four".