3624125130540 has 144 divisors (see below), whose sum is σ = 11293657030656. Its totient is φ = 940196880000.

The previous prime is 3624125130539. The next prime is 3624125130541. The reversal of 3624125130540 is 450315214263.

3624125130540 is a `hidden beast` number, since 3 + 6 + 24 + 12 + 51 + 30 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (3624125130539) and next prime (3624125130541).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3624125130495 and 3624125130504.

It is not an unprimeable number, because it can be changed into a prime (3624125130541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010005 + ... + 2875475.

It is an arithmetic number, because the mean of its divisors is an integer number (78428173824).

Almost surely, 2^{3624125130540} is an apocalyptic number.

3624125130540 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 3624125130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646828515328).

3624125130540 is an abundant number, since it is smaller than the sum of its proper divisors (7669531900116).

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

3624125130540 is a wasteful number, since it uses less digits than its factorization.

3624125130540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865780 (or 1865775 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 3624125130540 in words is "three trillion, six hundred twenty-four billion, one hundred twenty-five million, one hundred thirty thousand, five hundred forty".