3600642960 has 240 divisors, whose sum is σ = 12459702528. Its totient is φ = 931276800.

The previous prime is 3600642943. The next prime is 3600642967. The reversal of 3600642960 is 692460063.

3600642960 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 642 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3600642967) by changing a digit.

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, 8353945 + ... + 8354375.

Almost surely, 2^3600642960 is an apocalyptic number.

3600642960 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 3600642960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6229851264).

3600642960 is an abundant number, since it is smaller than the sum of its proper divisors (8859059568).

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

3600642960 is a wasteful number, since it uses less digits than its factorization.

3600642960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3600642960 is about 60005.3577607867. The cubic root of 3600642960 is about 1532.7101012655.

The spelling of 3600642960 in words is "three billion, six hundred million, six hundred forty-two thousand, nine hundred sixty".