3389800 has 48 divisors (see below), whose sum is σ = 8353260. Its totient is φ = 1274880.

The previous prime is 3389797. The next prime is 3389801. The reversal of 3389800 is 89833.

It can be written as a sum of positive squares in 6 ways, for example, as 2377764 + 1012036 = 1542^2 + 1006^2 .

It is a super-2 number, since 2×3389800² = 22981488080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3389801) 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, 2902 + ... + 3898.

Almost surely, 2^3389800 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 3389800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176630).

3389800 is an abundant number, since it is smaller than the sum of its proper divisors (4963460).

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

3389800 is a wasteful number, since it uses less digits than its factorization.

3389800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 3389800 is about 1841.1409506064. The cubic root of 3389800 is about 150.2189395403.

It can be divided in two parts, 338 and 9800, that multiplied together give a square (3312400 = 1820²).

The spelling of 3389800 in words is "three million, three hundred eighty-nine thousand, eight hundred".