3449952 has 120 divisors (see below), whose sum is σ = 11160072. Its totient is φ = 1045440.

The previous prime is 3449951. The next prime is 3449969. The reversal of 3449952 is 2599443.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

Its product of digits (38880) is a multiple of the sum of its prime divisors (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3449951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 313627 + ... + 313637.

Almost surely, 2^3449952 is an apocalyptic number.

3449952 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 3449952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580036).

3449952 is an abundant number, since it is smaller than the sum of its proper divisors (7710120).

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

3449952 is an equidigital number, since it uses as much as digits as its factorization.

3449952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 16 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3449952 is about 1857.4046408901. The cubic root of 3449952 is about 151.1022800170.

It can be divided in two parts, 344 and 9952, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 3449952 in words is "three million, four hundred forty-nine thousand, nine hundred fifty-two".