3145113624 has 64 divisors (see below), whose sum is σ = 8311248000. Its totient is φ = 989038080.

The previous prime is 3145113623. The next prime is 3145113659. The reversal of 3145113624 is 4263115413.

It is a super-4 number, since 4×3145113624⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a junction number, because it is equal to n+sod(n) for n = 3145113591 and 3145113600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145113623) 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, 95587 + ... + 124205.

It is an arithmetic number, because the mean of its divisors is an integer number (129863250).

Almost surely, 2^3145113624 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 3145113624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155624000).

3145113624 is an abundant number, since it is smaller than the sum of its proper divisors (5166134376).

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

3145113624 is a wasteful number, since it uses less digits than its factorization.

3145113624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28888 (or 28884 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 3145113624 is about 56081.3126094602. The cubic root of 3145113624 is about 1465.1388351303.

The spelling of 3145113624 in words is "three billion, one hundred forty-five million, one hundred thirteen thousand, six hundred twenty-four".