3505752 has 96 divisors (see below), whose sum is σ = 10389600. Its totient is φ = 1064448.

The previous prime is 3505751. The next prime is 3505753. The reversal of 3505752 is 2575053.

3505752 = T₃₃₃ + T₃₃₄ + ... + T₃₈₆.

It is an interprime number because it is at equal distance from previous prime (3505751) and next prime (3505753).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3505751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47988 + ... + 48060.

It is an arithmetic number, because the mean of its divisors is an integer number (108225).

Almost surely, 2^3505752 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 3505752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194800).

3505752 is an abundant number, since it is smaller than the sum of its proper divisors (6883848).

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

3505752 is a wasteful number, since it uses less digits than its factorization.

3505752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 3505752 is about 1872.3653489637. The cubic root of 3505752 is about 151.9125766900.

The spelling of 3505752 in words is "three million, five hundred five thousand, seven hundred fifty-two".