3338500 has 48 divisors (see below), whose sum is σ = 7967232. Its totient is φ = 1212000.

The previous prime is 3338441. The next prime is 3338501. The reversal of 3338500 is 58333.

It is a super-2 number, since 2×3338500² = 22291164500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3338501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5197 + ... + 5803.

It is an arithmetic number, because the mean of its divisors is an integer number (165984).

Almost surely, 2^3338500 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 3338500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983616).

3338500 is an abundant number, since it is smaller than the sum of its proper divisors (4628732).

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

3338500 is a wasteful number, since it uses less digits than its factorization.

3338500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 3338500 is about 1827.1562604222. The cubic root of 3338500 is about 149.4572981251.

The spelling of 3338500 in words is "three million, three hundred thirty-eight thousand, five hundred".