3145824 has 96 divisors (see below), whose sum is σ = 10039680. Its totient is φ = 950400.

The previous prime is 3145823. The next prime is 3145841. The reversal of 3145824 is 4285413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9339 + ... + 9669.

It is an arithmetic number, because the mean of its divisors is an integer number (104580).

Almost surely, 2^3145824 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 3145824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019840).

3145824 is an abundant number, since it is smaller than the sum of its proper divisors (6893856).

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

3145824 is a wasteful number, since it uses less digits than its factorization.

3145824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 3145824 is about 1773.6470900379. The cubic root of 3145824 is about 146.5249135450.

It can be divided in two parts, 3145 and 824, that added together give a square (3969 = 63²).

The spelling of 3145824 in words is "three million, one hundred forty-five thousand, eight hundred twenty-four".