3361600 has 84 divisors (see below), whose sum is σ = 9070848. Its totient is φ = 1216000.

The previous prime is 3361517. The next prime is 3361601. The reversal of 3361600 is 61633.

It is a happy number.

3361600 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×3361600² = 22600709120000, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361601) 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, 17505 + ... + 17695.

Almost surely, 2^3361600 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 3361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535424).

3361600 is an abundant number, since it is smaller than the sum of its proper divisors (5709248).

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

3361600 is a wasteful number, since it uses less digits than its factorization.

3361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 3361600 is about 1833.4666618185. The cubic root of 3361600 is about 149.8012181697.

It can be divided in two parts, 336 and 1600, that added together give a square (1936 = 44²).

The spelling of 3361600 in words is "three million, three hundred sixty-one thousand, six hundred".