3138200 has 96 divisors (see below), whose sum is σ = 8436960. Its totient is φ = 1075200.

The previous prime is 3138193. The next prime is 3138209. The reversal of 3138200 is 28313.

3138200 = T₃₂₅ + T₃₂₆ + ... + T₃₇₅.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44165 + ... + 44235.

It is an arithmetic number, because the mean of its divisors is an integer number (87885).

Almost surely, 2^3138200 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 3138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218480).

3138200 is an abundant number, since it is smaller than the sum of its proper divisors (5298760).

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

3138200 is a wasteful number, since it uses less digits than its factorization.

3138200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3138200 is about 1771.4965424748. The cubic root of 3138200 is about 146.4064485997.

The spelling of 3138200 in words is "three million, one hundred thirty-eight thousand, two hundred".