3362000 has 60 divisors (see below), whose sum is σ = 8332428. Its totient is φ = 1312000.

The previous prime is 3361991. The next prime is 3362017. The reversal of 3362000 is 2633.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 2849344 + 512656 = 1688^2 + 716^2 .

It is a super-2 number, since 2×3362000² = 22606088000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81980 + ... + 82020.

Almost surely, 2^3362000 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 3362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166214).

3362000 is an abundant number, since it is smaller than the sum of its proper divisors (4970428).

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

3362000 is an equidigital number, since it uses as much as digits as its factorization.

3362000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 3362000 is about 1833.5757415498. The cubic root of 3362000 is about 149.8071595975.

Adding to 3362000 its reverse (2633), we get a palindrome (3364633).

The spelling of 3362000 in words is "three million, three hundred sixty-two thousand".