3537952 has 72 divisors (see below), whose sum is σ = 8361360. Its totient is φ = 1457280.

The previous prime is 3537949. The next prime is 3537953. The reversal of 3537952 is 2597353.

3537952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3537953) 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 11 ways as a sum of consecutive naturals, for example, 153813 + ... + 153835.

It is an arithmetic number, because the mean of its divisors is an integer number (116130).

Almost surely, 2^3537952 is an apocalyptic number.

3537952 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 3537952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180680).

3537952 is an abundant number, since it is smaller than the sum of its proper divisors (4823408).

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

3537952 is a wasteful number, since it uses less digits than its factorization.

3537952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 55 counting only the distinct ones).

The product of its digits is 28350, while the sum is 34.

The square root of 3537952 is about 1880.9444436240. The cubic root of 3537952 is about 152.3762608179.

It can be divided in two parts, 3537 and 952, that added together give a square (4489 = 67²).

The spelling of 3537952 in words is "three million, five hundred thirty-seven thousand, nine hundred fifty-two".