3145800 has 144 divisors (see below), whose sum is σ = 11450160. Its totient is φ = 712320.

The previous prime is 3145781. The next prime is 3145801. The reversal of 3145800 is 85413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3145801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29347 + ... + 29453.

It is an arithmetic number, because the mean of its divisors is an integer number (79515).

Almost surely, 2^3145800 is an apocalyptic number.

3145800 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 3145800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725080).

3145800 is an abundant number, since it is smaller than the sum of its proper divisors (8304360).

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

3145800 is a wasteful number, since it uses less digits than its factorization.

3145800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 3145800 is about 1773.6403243048. The cubic root of 3145800 is about 146.5245409233.

The spelling of 3145800 in words is "three million, one hundred forty-five thousand, eight hundred".