3582480 has 160 divisors (see below), whose sum is σ = 12856320. Its totient is φ = 816640.

The previous prime is 3582463. The next prime is 3582493. The reversal of 3582480 is 842853.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60691 + ... + 60749.

It is an arithmetic number, because the mean of its divisors is an integer number (80352).

Almost surely, 2^3582480 is an apocalyptic number.

3582480 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 3582480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

3582480 is an abundant number, since it is smaller than the sum of its proper divisors (9273840).

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

3582480 is a wasteful number, since it uses less digits than its factorization.

3582480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3582480 is about 1892.7440397476. The cubic root of 3582480 is about 153.0128572219.

The spelling of 3582480 in words is "three million, five hundred eighty-two thousand, four hundred eighty".