3645660060 has 144 divisors (see below), whose sum is σ = 12654532800. Its totient is φ = 832223232.

The previous prime is 3645660049. The next prime is 3645660101. The reversal of 3645660060 is 600665463.

3645660060 is a `hidden beast` number, since 3 + 6 + 45 + 6 + 600 + 6 + 0 = 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 = 3645659997 and 3645660024.

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 47 ways as a sum of consecutive naturals, for example, 1396036 + ... + 1398644.

It is an arithmetic number, because the mean of its divisors is an integer number (87878700).

Almost surely, 2^3645660060 is an apocalyptic number.

3645660060 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 3645660060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327266400).

3645660060 is an abundant number, since it is smaller than the sum of its proper divisors (9008872740).

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

3645660060 is a wasteful number, since it uses less digits than its factorization.

3645660060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3645660060 is about 60379.3015858912. The cubic root of 3645660060 is about 1539.0712424288.

The spelling of 3645660060 in words is "three billion, six hundred forty-five million, six hundred sixty thousand, sixty".