3141600 has 288 divisors, whose sum is σ = 13499136. Its totient is φ = 614400.

The previous prime is 3141569. The next prime is 3141601. The reversal of 3141600 is 61413.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3141600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184792 + ... + 184808.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

Almost surely, 2^3141600 is an apocalyptic number.

3141600 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 3141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568).

3141600 is an abundant number, since it is smaller than the sum of its proper divisors (10357536).

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

3141600 is a wasteful number, since it uses less digits than its factorization.

3141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 45 counting only the distinct ones).

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

The square root of 3141600 is about 1772.4559232884. The cubic root of 3141600 is about 146.4593029178.

It can be divided in two parts, 3141 and 600, that added together give a triangular number (3741 = T₈₆).

The spelling of 3141600 in words is "three million, one hundred forty-one thousand, six hundred".