4329952704 has 336 divisors, whose sum is σ = 15576986880. Its totient is φ = 1117163520.

The previous prime is 4329952703. The next prime is 4329952727. The reversal of 4329952704 is 4072599234.

4329952704 is a `hidden beast` number, since 4 + 32 + 99 + 527 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 4329952704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4329952703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10333807 + ... + 10334225.

It is an arithmetic number, because the mean of its divisors is an integer number (46360080).

Almost surely, 2^4329952704 is an apocalyptic number.

4329952704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4329952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788493440).

4329952704 is an abundant number, since it is smaller than the sum of its proper divisors (11247034176).

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

4329952704 is a wasteful number, since it uses less digits than its factorization.

4329952704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4329952704 is about 65802.3761273102. The cubic root of 4329952704 is about 1629.9003419317.

The spelling of 4329952704 in words is "four billion, three hundred twenty-nine million, nine hundred fifty-two thousand, seven hundred four".