3493296 has 60 divisors (see below), whose sum is σ = 10358712. Its totient is φ = 1095168.

The previous prime is 3493291. The next prime is 3493307. The reversal of 3493296 is 6923943.

It is a happy number.

3493296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (34992) is a multiple of the sum of its prime factors (1458).

It is a self number, because there is not a number n which added to its sum of digits gives 3493296.

It is not an unprimeable number, because it can be changed into a prime (3493291) 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 11 ways as a sum of consecutive naturals, for example, 1735 + ... + 3161.

Almost surely, 2^3493296 is an apocalyptic number.

3493296 is a gapful number since it is divisible by the number (36) 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 3493296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179356).

3493296 is an abundant number, since it is smaller than the sum of its proper divisors (6865416).

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

3493296 is a wasteful number, since it uses less digits than its factorization.

3493296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1449 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 3493296 is about 1869.0361152209. The cubic root of 3493296 is about 151.7324471463.

The spelling of 3493296 in words is "three million, four hundred ninety-three thousand, two hundred ninety-six".