3385900 has 54 divisors (see below), whose sum is σ = 8559348. Its totient is φ = 1159200.

The previous prime is 3385897. The next prime is 3385931. The reversal of 3385900 is 95833.

It is a happy number.

3385900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3385900² = 22928637620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 4555 + ... + 5245.

Almost surely, 2^3385900 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 3385900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279674).

3385900 is an abundant number, since it is smaller than the sum of its proper divisors (5173448).

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

3385900 is a wasteful number, since it uses less digits than its factorization.

3385900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 3385900 is about 1840.0815199333. The cubic root of 3385900 is about 150.1613079509.

The spelling of 3385900 in words is "three million, three hundred eighty-five thousand, nine hundred".