3144413040 has 80 divisors (see below), whose sum is σ = 9818934048. Its totient is φ = 832380928.

The previous prime is 3144413039. The next prime is 3144413057. The reversal of 3144413040 is 403144413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3144413040² = 19774666732244083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3144413040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14937 + ... + 80696.

Almost surely, 2^3144413040 is an apocalyptic number.

3144413040 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 3144413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909467024).

3144413040 is an abundant number, since it is smaller than the sum of its proper divisors (6674521008).

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

3144413040 is a wasteful number, since it uses less digits than its factorization.

3144413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95786 (or 95780 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3144413040 is about 56075.0661167689. The cubic root of 3144413040 is about 1465.0300389497.

Adding to 3144413040 its reverse (403144413), we get a palindrome (3547557453).

The spelling of 3144413040 in words is "three billion, one hundred forty-four million, four hundred thirteen thousand, forty".