4738344480 has 288 divisors, whose sum is σ = 17131855104. Its totient is φ = 1236197376.

The previous prime is 4738344467. The next prime is 4738344487. The reversal of 4738344480 is 844438374.

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

It is a super-2 number, since 2×4738344480² = 44903816822292940800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4738344487) 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, 1826064 + ... + 1828656.

It is an arithmetic number, because the mean of its divisors is an integer number (59485608).

Almost surely, 2^4738344480 is an apocalyptic number.

4738344480 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 4738344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8565927552).

4738344480 is an abundant number, since it is smaller than the sum of its proper divisors (12393510624).

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

4738344480 is a wasteful number, since it uses less digits than its factorization.

4738344480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The square root of 4738344480 is about 68835.6337952953. The cubic root of 4738344480 is about 1679.6116449272.

The spelling of 4738344480 in words is "four billion, seven hundred thirty-eight million, three hundred forty-four thousand, four hundred eighty".