4332936960 has 432 divisors, whose sum is σ = 16897241088. Its totient is φ = 1015603200.

The previous prime is 4332936943. The next prime is 4332936961. The reversal of 4332936960 is 696392334.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332936961) by changing a digit.

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, 3927769 + ... + 3928871.

It is an arithmetic number, because the mean of its divisors is an integer number (39113984).

Almost surely, 2^4332936960 is an apocalyptic number.

4332936960 is a gapful number since it is divisible by the number (40) 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 4332936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8448620544).

4332936960 is an abundant number, since it is smaller than the sum of its proper divisors (12564304128).

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

4332936960 is a wasteful number, since it uses less digits than its factorization.

4332936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The square root of 4332936960 is about 65825.0481199976. The cubic root of 4332936960 is about 1630.2747049777.

The spelling of 4332936960 in words is "four billion, three hundred thirty-two million, nine hundred thirty-six thousand, nine hundred sixty".