3582720 has 108 divisors (see below), whose sum is σ = 12435696. Its totient is φ = 952320.

The previous prime is 3582707. The next prime is 3582727. The reversal of 3582720 is 272853.

It is not an unprimeable number, because it can be changed into a prime (3582727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11365 + ... + 11675.

Almost surely, 2^3582720 is an apocalyptic number.

3582720 is a gapful number since it is divisible by the number (30) 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 3582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217848).

3582720 is an abundant number, since it is smaller than the sum of its proper divisors (8852976).

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

3582720 is a wasteful number, since it uses less digits than its factorization.

3582720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3582720 is about 1892.8074387005. The cubic root of 3582720 is about 153.0162740603.

The spelling of 3582720 in words is "three million, five hundred eighty-two thousand, seven hundred twenty".