4334029056 has 216 divisors, whose sum is σ = 14425407360. Its totient is φ = 1225801728.

The previous prime is 4334029019. The next prime is 4334029061. The reversal of 4334029056 is 6509204334.

It is a super-2 number, since 2×4334029056² = 37567615716504502272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4334029056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1659880 + ... + 1662488.

Almost surely, 2^4334029056 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 4334029056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212703680).

4334029056 is an abundant number, since it is smaller than the sum of its proper divisors (10091378304).

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

4334029056 is a wasteful number, since it uses less digits than its factorization.

4334029056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 4334029056 is about 65833.3430413495. The cubic root of 4334029056 is about 1630.4116611147.

The spelling of 4334029056 in words is "four billion, three hundred thirty-four million, twenty-nine thousand, fifty-six".