3579552 has 60 divisors (see below), whose sum is σ = 10534986. Its totient is φ = 1192320.

The previous prime is 3579551. The next prime is 3579613. The reversal of 3579552 is 2559753.

3579552 is a `hidden beast` number, since 35 + 79 + 552 = 666.

3579552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 467856 = 1764^2 + 684^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (3579551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1902 + ... + 3282.

Almost surely, 2^3579552 is an apocalyptic number.

3579552 is a gapful number since it is divisible by the number (32) 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 3579552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267493).

3579552 is an abundant number, since it is smaller than the sum of its proper divisors (6955434).

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

3579552 is a wasteful number, since it uses less digits than its factorization.

3579552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1386 counting only the distinct ones).

The product of its digits is 47250, while the sum is 36.

The square root of 3579552 is about 1891.9704014598. The cubic root of 3579552 is about 152.9711595005.

The spelling of 3579552 in words is "three million, five hundred seventy-nine thousand, five hundred fifty-two".