3342976 has 96 divisors (see below), whose sum is σ = 8546580. Its totient is φ = 1290240.

The previous prime is 3342973. The next prime is 3342979. The reversal of 3342976 is 6792433.

It is an interprime number because it is at equal distance from previous prime (3342973) and next prime (3342979).

It can be written as a sum of positive squares in 2 ways, for example, as 2637376 + 705600 = 1624^2 + 840^2 .

It is a super-2 number, since 2×3342976² = 22350977073152, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁵ + 3¹³ + 4⁸ + 2⁷ + 9³ + 7⁴ + 6⁸ .

Its product of digits (27216) is a multiple of the sum of its prime divisors (63).

It is not an unprimeable number, because it can be changed into a prime (3342973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81516 + ... + 81556.

Almost surely, 2^3342976 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 3342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273290).

3342976 is an abundant number, since it is smaller than the sum of its proper divisors (5203604).

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

3342976 is a wasteful number, since it uses less digits than its factorization.

3342976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 63 counting only the distinct ones).

The product of its digits is 27216, while the sum is 34.

The square root of 3342976 is about 1828.3807043392. The cubic root of 3342976 is about 149.5240618534.

The spelling of 3342976 in words is "three million, three hundred forty-two thousand, nine hundred seventy-six".