3354816 has 56 divisors (see below), whose sum is σ = 9015984. Its totient is φ = 1100800.

The previous prime is 3354809. The next prime is 3354823. The reversal of 3354816 is 6184533.

3354816 = T₁₀₄ + T₁₀₅ + ... + T₂₇₆.

It is an interprime number because it is at equal distance from previous prime (3354809) and next prime (3354823).

It is a super-2 number, since 2×3354816² = 22509580787712, which contains 22 as substring.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19306 + ... + 19478.

Almost surely, 2^3354816 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 3354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507992).

3354816 is an abundant number, since it is smaller than the sum of its proper divisors (5661168).

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

3354816 is a wasteful number, since it uses less digits than its factorization.

3354816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 3354816 is about 1831.6156802124. The cubic root of 3354816 is about 149.7003796941.

It can be divided in two parts, 335 and 4816, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 3354816 in words is "three million, three hundred fifty-four thousand, eight hundred sixteen".