3437952 has 64 divisors (see below), whose sum is σ = 10444800. Its totient is φ = 981504.

The previous prime is 3437923. The next prime is 3437953. The reversal of 3437952 is 2597343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3437953) 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, 2049 + ... + 3327.

It is an arithmetic number, because the mean of its divisors is an integer number (163200).

Almost surely, 2^3437952 is an apocalyptic number.

3437952 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 3437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222400).

3437952 is an abundant number, since it is smaller than the sum of its proper divisors (7006848).

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

3437952 is a wasteful number, since it uses less digits than its factorization.

3437952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1291 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 3437952 is about 1854.1715131023. The cubic root of 3437952 is about 150.9268830111.

The spelling of 3437952 in words is "three million, four hundred thirty-seven thousand, nine hundred fifty-two".