3392000 has 80 divisors (see below), whose sum is σ = 8617752. Its totient is φ = 1331200.

The previous prime is 3391991. The next prime is 3392021. The reversal of 3392000 is 2933.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1364224 + 2027776 = 1168^2 + 1424^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3392000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63974 + ... + 64026.

Almost surely, 2^3392000 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 3392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308876).

3392000 is an abundant number, since it is smaller than the sum of its proper divisors (5225752).

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

3392000 is an frugal number, since it uses more digits than its factorization.

3392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 3392000 is about 1841.7383093154. The cubic root of 3392000 is about 150.2514301688.

Adding to 3392000 its reverse (2933), we get a palindrome (3394933).

The spelling of 3392000 in words is "three million, three hundred ninety-two thousand".