3509352 has 128 divisors (see below), whose sum is σ = 12211200. Its totient is φ = 907200.

The previous prime is 3509347. The next prime is 3509353. The reversal of 3509352 is 2539053.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3509353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16527 + ... + 16737.

It is an arithmetic number, because the mean of its divisors is an integer number (95400).

Almost surely, 2^3509352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3509352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105600).

3509352 is an abundant number, since it is smaller than the sum of its proper divisors (8701848).

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

3509352 is a wasteful number, since it uses less digits than its factorization.

3509352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 3509352 is about 1873.3264531309. The cubic root of 3509352 is about 151.9645577568.

Subtracting from 3509352 its reverse (2539053), we obtain a cube (970299 = 99³).

The spelling of 3509352 in words is "three million, five hundred nine thousand, three hundred fifty-two".