3145113630 has 48 divisors (see below), whose sum is σ = 8389427760. Its totient is φ = 838451232.

The previous prime is 3145113623. The next prime is 3145113659. The reversal of 3145113630 is 363115413.

3145113630 is a `hidden beast` number, since 3 + 14 + 5 + 1 + 13 + 630 = 666.

It is a super-3 number, since 3×3145113630³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 3145113594 and 3145113603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919804 + ... + 923216.

It is an arithmetic number, because the mean of its divisors is an integer number (174779745).

Almost surely, 2^3145113630 is an apocalyptic number.

3145113630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3145113630 is an abundant number, since it is smaller than the sum of its proper divisors (5244314130).

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

3145113630 is an frugal number, since it uses more digits than its factorization.

3145113630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6842 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3145113630 is about 56081.3126629540. The cubic root of 3145113630 is about 1465.1388360620.

The spelling of 3145113630 in words is "three billion, one hundred forty-five million, one hundred thirteen thousand, six hundred thirty".