3125824 has 63 divisors (see below), whose sum is σ = 7134987. Its totient is φ = 1357824.

The previous prime is 3125821. The next prime is 3125831. The reversal of 3125824 is 4285213.

The square root of 3125824 is 1768.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 3097600 = 168^2 + 1760^2 .

It is a Duffinian number.

Its product of digits (1920) is a multiple of the sum of its prime divisors (32).

It is not an unprimeable number, because it can be changed into a prime (3125821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 183864 + ... + 183880.

Almost surely, 2^3125824 is an apocalyptic number.

3125824 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3125824 is the 1768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3125824

3125824 is an abundant number, since it is smaller than the sum of its proper divisors (4009163).

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

3125824 is a wasteful number, since it uses less digits than its factorization.

3125824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 32 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The cubic root of 3125824 is about 146.2137358647.

Multiplying 3125824 by its sum of digits (25), we get a square (78145600 = 8840²).

The spelling of 3125824 in words is "three million, one hundred twenty-five thousand, eight hundred twenty-four".