3482976 has 96 divisors (see below), whose sum is σ = 10741248. Its totient is φ = 967680.

The previous prime is 3482971. The next prime is 3482981. The reversal of 3482976 is 6792843.

It is an interprime number because it is at equal distance from previous prime (3482971) and next prime (3482981).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3482976² = 24262243633152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47676 + ... + 47748.

It is an arithmetic number, because the mean of its divisors is an integer number (111888).

Almost surely, 2^3482976 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 3482976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370624).

3482976 is an abundant number, since it is smaller than the sum of its proper divisors (7258272).

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

3482976 is a wasteful number, since it uses less digits than its factorization.

3482976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 3482976 is about 1866.2732918841. The cubic root of 3482976 is about 151.5828822484.

The spelling of 3482976 in words is "three million, four hundred eighty-two thousand, nine hundred seventy-six".