3528720 has 180 divisors, whose sum is σ = 13274820. Its totient is φ = 838656.

The previous prime is 3528659. The next prime is 3528743. The reversal of 3528720 is 278253.

It can be written as a sum of positive squares in 6 ways, for example, as 665856 + 2862864 = 816^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121666 + ... + 121694.

It is an arithmetic number, because the mean of its divisors is an integer number (73749).

Almost surely, 2^3528720 is an apocalyptic number.

3528720 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 3528720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6637410).

3528720 is an abundant number, since it is smaller than the sum of its proper divisors (9746100).

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

3528720 is a wasteful number, since it uses less digits than its factorization.

3528720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 52 counting only the distinct ones).

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

The square root of 3528720 is about 1878.4887542916. The cubic root of 3528720 is about 152.2436075195.

The spelling of 3528720 in words is "three million, five hundred twenty-eight thousand, seven hundred twenty".