3145200 has 60 divisors (see below), whose sum is σ = 10078968. Its totient is φ = 838400.

The previous prime is 3145189. The next prime is 3145201. The reversal of 3145200 is 25413.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×3145200³ = 93339625852224000000, which contains 333 as substring.

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 3145200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111 + ... + 2510.

Almost surely, 2^3145200 is an apocalyptic number.

3145200 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 3145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039484).

3145200 is an abundant number, since it is smaller than the sum of its proper divisors (6933768).

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

3145200 is a wasteful number, since it uses less digits than its factorization.

3145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3145200 is about 1773.4711725878. The cubic root of 3145200 is about 146.5152247648.

It can be divided in two parts, 3 and 145200, that multiplied together give a square (435600 = 660²).

The spelling of 3145200 in words is "three million, one hundred forty-five thousand, two hundred".