3378600 has 72 divisors (see below), whose sum is σ = 11352510. Its totient is φ = 900480.

The previous prime is 3378589. The next prime is 3378611. The reversal of 3378600 is 68733.

It is a happy number.

3378600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3378589) and next prime (3378611).

It can be written as a sum of positive squares in 3 ways, for example, as 2683044 + 695556 = 1638^2 + 834^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3378600² = 22829875920000, which contains 22 as substring.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 862 + ... + 2738.

Almost surely, 2^3378600 is an apocalyptic number.

3378600 is a gapful number since it is divisible by the number (30) 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 3378600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5676255).

3378600 is an abundant number, since it is smaller than the sum of its proper divisors (7973910).

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

3378600 is a wasteful number, since it uses less digits than its factorization.

3378600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3378600 is about 1838.0968418448. The cubic root of 3378600 is about 150.0533143816.

The spelling of 3378600 in words is "three million, three hundred seventy-eight thousand, six hundred".