4052736000 has 288 divisors, whose sum is σ = 14616201600. Its totient is φ = 1080115200.

The previous prime is 4052735971. The next prime is 4052736007. The reversal of 4052736000 is 6372504.

It is a happy number.

4052736000 is a `hidden beast` number, since 4 + 0 + 52 + 7 + 3 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052736007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2303121 + ... + 2304879.

It is an arithmetic number, because the mean of its divisors is an integer number (50750700).

Almost surely, 2^4052736000 is an apocalyptic number.

4052736000 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 4052736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7308100800).

4052736000 is an abundant number, since it is smaller than the sum of its proper divisors (10563465600).

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

4052736000 is a wasteful number, since it uses less digits than its factorization.

4052736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4052736000 is about 63661.1027237198. The cubic root of 4052736000 is about 1594.3467154258.

The spelling of 4052736000 in words is "four billion, fifty-two million, seven hundred thirty-six thousand".