4003480338 has 64 divisors (see below), whose sum is σ = 9417969792. Its totient is φ = 1118522880.

The previous prime is 4003480333. The next prime is 4003480343. The reversal of 4003480338 is 8330843004.

It is an interprime number because it is at equal distance from previous prime (4003480333) and next prime (4003480343).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4003480299 and 4003480308.

It is not an unprimeable number, because it can be changed into a prime (4003480333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884056 + ... + 888572.

It is an arithmetic number, because the mean of its divisors is an integer number (147155778).

Almost surely, 2^4003480338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4003480338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4708984896).

4003480338 is an abundant number, since it is smaller than the sum of its proper divisors (5414489454).

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

4003480338 is a wasteful number, since it uses less digits than its factorization.

4003480338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5579.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 4003480338 is about 63273.0617087556. The cubic root of 4003480338 is about 1587.8613095232.

The spelling of 4003480338 in words is "four billion, three million, four hundred eighty thousand, three hundred thirty-eight".