3378816 has 96 divisors (see below), whose sum is σ = 11138400. Its totient is φ = 963072.

The previous prime is 3378799. The next prime is 3378839. The reversal of 3378816 is 6188733.

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

It is a super-2 number, since 2×3378816² = 22832795123712, which contains 22 as substring.

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.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7855 + ... + 8273.

It is an arithmetic number, because the mean of its divisors is an integer number (116025).

Almost surely, 2^3378816 is an apocalyptic number.

3378816 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 3378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569200).

3378816 is an abundant number, since it is smaller than the sum of its proper divisors (7759584).

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

3378816 is a wasteful number, since it uses less digits than its factorization.

3378816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 3378816 is about 1838.1555973312. The cubic root of 3378816 is about 150.0565120399.

The spelling of 3378816 in words is "three million, three hundred seventy-eight thousand, eight hundred sixteen".