3600471141540 has 768 divisors, whose sum is σ = 14012091555840. Its totient is φ = 747304704000.

The previous prime is 3600471141539. The next prime is 3600471141557. The reversal of 3600471141540 is 451411740063.

3600471141540 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 4 + 71 + 1 + 41 + 540 = 666.

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 = 3600471141495 and 3600471141504.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1023731862 + ... + 1023735378.

It is an arithmetic number, because the mean of its divisors is an integer number (18244910880).

Almost surely, 2^{3600471141540} is an apocalyptic number.

3600471141540 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 3600471141540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006045777920).

3600471141540 is an abundant number, since it is smaller than the sum of its proper divisors (10411620414300).

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

3600471141540 is a wasteful number, since it uses less digits than its factorization.

3600471141540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 3600471141540 in words is "three trillion, six hundred billion, four hundred seventy-one million, one hundred forty-one thousand, five hundred forty".