3581952 has 96 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 1064960.

The previous prime is 3581927. The next prime is 3581953. The reversal of 3581952 is 2591853.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3581953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67558 + ... + 67610.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

Almost surely, 2^3581952 is an apocalyptic number.

3581952 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 3581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

3581952 is an abundant number, since it is smaller than the sum of its proper divisors (7032288).

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

3581952 is a wasteful number, since it uses less digits than its factorization.

3581952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 3581952 is about 1892.6045545755. The cubic root of 3581952 is about 153.0053396402.

Subtracting from 3581952 its reverse (2591853), we obtain a palindrome (990099).

The spelling of 3581952 in words is "three million, five hundred eighty-one thousand, nine hundred fifty-two".