3545952 has 48 divisors (see below), whose sum is σ = 9535680. Its totient is φ = 1153152.

The previous prime is 3545947. The next prime is 3545957. The reversal of 3545952 is 2595453.

3545952 is nontrivially palindromic in base 7.

3545952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3545947) and next prime (3545957).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3545957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3699 + ... + 4557.

It is an arithmetic number, because the mean of its divisors is an integer number (198660).

Almost surely, 2^3545952 is an apocalyptic number.

3545952 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 3545952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767840).

3545952 is an abundant number, since it is smaller than the sum of its proper divisors (5989728).

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

3545952 is a wasteful number, since it uses less digits than its factorization.

3545952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 907 counting only the distinct ones).

The product of its digits is 27000, while the sum is 33.

The square root of 3545952 is about 1883.0698340741. The cubic root of 3545952 is about 152.4910251818.

It can be divided in two parts, 35459 and 52, that added together give a triangular number (35511 = T₂₆₆).

The spelling of 3545952 in words is "three million, five hundred forty-five thousand, nine hundred fifty-two".