3493824 has 56 divisors (see below), whose sum is σ = 9558528. Its totient is φ = 1125120.

The previous prime is 3493817. The next prime is 3493829. The reversal of 3493824 is 4283943.

3493824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3493824² = 24413612285952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3493829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5659 + ... + 6245.

It is an arithmetic number, because the mean of its divisors is an integer number (170688).

Almost surely, 2^3493824 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 3493824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779264).

3493824 is an abundant number, since it is smaller than the sum of its proper divisors (6064704).

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

3493824 is a wasteful number, since it uses less digits than its factorization.

3493824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3493824 is about 1869.1773591610. The cubic root of 3493824 is about 151.7400913784.

The spelling of 3493824 in words is "three million, four hundred ninety-three thousand, eight hundred twenty-four".