4003672320 has 576 divisors, whose sum is σ = 15211284480. Its totient is φ = 995328000.

The previous prime is 4003672303. The next prime is 4003672331. The reversal of 4003672320 is 232763004.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 39640270 + ... + 39640370.

It is an arithmetic number, because the mean of its divisors is an integer number (26408480).

Almost surely, 2^4003672320 is an apocalyptic number.

4003672320 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 4003672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7605642240).

4003672320 is an abundant number, since it is smaller than the sum of its proper divisors (11207612160).

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

4003672320 is a wasteful number, since it uses less digits than its factorization.

4003672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 4003672320 is about 63274.5787816877. The cubic root of 4003672320 is about 1587.8866904328.

The spelling of 4003672320 in words is "four billion, three million, six hundred seventy-two thousand, three hundred twenty".