4036320 has 72 divisors (see below), whose sum is σ = 13778856. Its totient is φ = 1075968.

The previous prime is 4036301. The next prime is 4036349. The reversal of 4036320 is 236304.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4036293 and 4036302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39 + ... + 2841.

It is an arithmetic number, because the mean of its divisors is an integer number (191373).

Almost surely, 2^4036320 is an apocalyptic number.

4036320 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 4036320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6889428).

4036320 is an abundant number, since it is smaller than the sum of its proper divisors (9742536).

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

4036320 is a wasteful number, since it uses less digits than its factorization.

4036320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 4036320 is about 2009.0594814490. The cubic root of 4036320 is about 159.2191117010.

It can be divided in two parts, 4036 and 320, that added together give a square (4356 = 66²).

The spelling of 4036320 in words is "four million, thirty-six thousand, three hundred twenty".