3521952 has 72 divisors (see below), whose sum is σ = 11452896. Its totient is φ = 1005696.

The previous prime is 3521951. The next prime is 3521953. The reversal of 3521952 is 2591253.

It is an interprime number because it is at equal distance from previous prime (3521951) and next prime (3521953).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3521951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1143 + ... + 2889.

It is an arithmetic number, because the mean of its divisors is an integer number (159068).

Almost surely, 2^3521952 is an apocalyptic number.

3521952 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 3521952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726448).

3521952 is an abundant number, since it is smaller than the sum of its proper divisors (7930944).

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

3521952 is a wasteful number, since it uses less digits than its factorization.

3521952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1759 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 3521952 is about 1876.6864415773. The cubic root of 3521952 is about 152.1462120344.

It can be divided in two parts, 352 and 1952, that added together give a square (2304 = 48²).

The spelling of 3521952 in words is "three million, five hundred twenty-one thousand, nine hundred fifty-two".