3138000 has 80 divisors (see below), whose sum is σ = 10136256. Its totient is φ = 835200.

The previous prime is 3137999. The next prime is 3138029. The reversal of 3138000 is 8313.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5739 + ... + 6261.

Almost surely, 2^3138000 is an apocalyptic number.

3138000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068128).

3138000 is an abundant number, since it is smaller than the sum of its proper divisors (6998256).

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

3138000 is a wasteful number, since it uses less digits than its factorization.

3138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3138000 is about 1771.4400921284. The cubic root of 3138000 is about 146.4033383335.

The spelling of 3138000 in words is "three million, one hundred thirty-eight thousand".