4350253824 has 288 divisors, whose sum is σ = 15022909440. Its totient is φ = 1215848448.

The previous prime is 4350253823. The next prime is 4350253841. The reversal of 4350253824 is 4283520534.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4350253823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2273092 + ... + 2275004.

It is an arithmetic number, because the mean of its divisors is an integer number (52162880).

Almost surely, 2^4350253824 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 4350253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7511454720).

4350253824 is an abundant number, since it is smaller than the sum of its proper divisors (10672655616).

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

4350253824 is a wasteful number, since it uses less digits than its factorization.

4350253824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4350253824 is about 65956.4539980736. The cubic root of 4350253824 is about 1632.4436510111.

The spelling of 4350253824 in words is "four billion, three hundred fifty million, two hundred fifty-three thousand, eight hundred twenty-four".