4294626336 has 288 divisors, whose sum is σ = 16398764928. Its totient is φ = 1029611520.

The previous prime is 4294626331. The next prime is 4294626389. The reversal of 4294626336 is 6336264924.

4294626336 is a `hidden beast` number, since 4 + 2 + 9 + 4 + 6 + 2 + 633 + 6 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 4294626291 and 4294626300.

It is not an unprimeable number, because it can be changed into a prime (4294626331) 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 47 ways as a sum of consecutive naturals, for example, 280840 + ... + 295736.

It is an arithmetic number, because the mean of its divisors is an integer number (56940156).

Almost surely, 2^4294626336 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 4294626336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8199382464).

4294626336 is an abundant number, since it is smaller than the sum of its proper divisors (12104138592).

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

4294626336 is a wasteful number, since it uses less digits than its factorization.

4294626336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14944 (or 14933 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 4294626336 is about 65533.3986300116. The cubic root of 4294626336 is about 1625.4556621657.

The spelling of 4294626336 in words is "four billion, two hundred ninety-four million, six hundred twenty-six thousand, three hundred thirty-six".