4072608384 has 128 divisors (see below), whose sum is σ = 12026273280. Its totient is φ = 1212641280.

The previous prime is 4072608373. The next prime is 4072608401. The reversal of 4072608384 is 4838062704.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4072608384² = 33172278098854182912, which contains 22 as substring.

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, 141594 + ... + 167910.

It is an arithmetic number, because the mean of its divisors is an integer number (93955260).

Almost surely, 2^4072608384 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 4072608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013136640).

4072608384 is an abundant number, since it is smaller than the sum of its proper divisors (7953664896).

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

4072608384 is a wasteful number, since it uses less digits than its factorization.

4072608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26378 (or 26366 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4072608384 is about 63816.9913424317. The cubic root of 4072608384 is about 1596.9484002035.

The spelling of 4072608384 in words is "four billion, seventy-two million, six hundred eight thousand, three hundred eighty-four".