3144825090 has 144 divisors (see below), whose sum is σ = 9461088000. Its totient is φ = 722208960.

The previous prime is 3144825077. The next prime is 3144825107. The reversal of 3144825090 is 905284413.

3144825090 is a `hidden beast` number, since 3 + 144 + 8 + 2 + 509 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 199311 + ... + 214509.

It is an arithmetic number, because the mean of its divisors is an integer number (65702000).

Almost surely, 2^3144825090 is an apocalyptic number.

3144825090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144825090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730544000).

3144825090 is an abundant number, since it is smaller than the sum of its proper divisors (6316262910).

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

3144825090 is a wasteful number, since it uses less digits than its factorization.

3144825090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15253 (or 15239 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3144825090 is about 56078.7400892709. The cubic root of 3144825090 is about 1465.0940296164.

The spelling of 3144825090 in words is "three billion, one hundred forty-four million, eight hundred twenty-five thousand, ninety".