4738324240 has 80 divisors (see below), whose sum is σ = 11875208688. Its totient is φ = 1747888128.

The previous prime is 4738324237. The next prime is 4738324259. The reversal of 4738324240 is 424238374.

It can be written as a sum of positive squares in 8 ways, for example, as 545502736 + 4192821504 = 23356^2 + 64752^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4738324240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2009142 + ... + 2011498.

Almost surely, 2^4738324240 is an apocalyptic number.

4738324240 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 4738324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937604344).

4738324240 is an abundant number, since it is smaller than the sum of its proper divisors (7136884448).

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

4738324240 is a wasteful number, since it uses less digits than its factorization.

4738324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

The square root of 4738324240 is about 68835.4867782599. The cubic root of 4738324240 is about 1679.6092534176.

The spelling of 4738324240 in words is "four billion, seven hundred thirty-eight million, three hundred twenty-four thousand, two hundred forty".