3038000 has 120 divisors (see below), whose sum is σ = 8820864. Its totient is φ = 1008000.

The previous prime is 3037999. The next prime is 3038003. The reversal of 3038000 is 8303.

3038000 = T₁₅₅ + T₁₅₆ + ... + T₂₇₉.

It is a happy number.

3038000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (3038003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 97985 + ... + 98015.

Almost surely, 2^3038000 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 3038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410432).

3038000 is an abundant number, since it is smaller than the sum of its proper divisors (5782864).

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

3038000 is a wasteful number, since it uses less digits than its factorization.

3038000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3038000 is about 1742.9859437184. The cubic root of 3038000 is about 144.8313536696.

The spelling of 3038000 in words is "three million, thirty-eight thousand".