3376800 has 216 divisors, whose sum is σ = 13811616. Its totient is φ = 760320.

The previous prime is 3376783. The next prime is 3376811. The reversal of 3376800 is 86733.

It is a happy number.

It is a super-2 number, since 2×3376800² = 22805556480000, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50367 + ... + 50433.

Almost surely, 2^3376800 is an apocalyptic number.

3376800 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 3376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905808).

3376800 is an abundant number, since it is smaller than the sum of its proper divisors (10434816).

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

3376800 is a wasteful number, since it uses less digits than its factorization.

3376800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

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

The square root of 3376800 is about 1837.6071397336. The cubic root of 3376800 is about 150.0266619273.

The spelling of 3376800 in words is "three million, three hundred seventy-six thousand, eight hundred".