3600764314624 has 99 divisors (see below), whose sum is σ = 7599228970041. Its totient is φ = 1705078702080.

The previous prime is 3600764314607. The next prime is 3600764314633. The reversal of 3600764314624 is 4264134670063.

The square root of 3600764314624 is 1897568.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2307073024 + 3598457241600 = 48032^2 + 1896960^2 .

It is a super-2 number, since 2×3600764314624² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1153719784 + ... + 1153722904.

Almost surely, 2^{3600764314624} is an apocalyptic number.

3600764314624 is the 1897568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3600764314624

3600764314624 is an abundant number, since it is smaller than the sum of its proper divisors (3998464655417).

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

3600764314624 is an frugal number, since it uses more digits than its factorization.

3600764314624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6300 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 46.

Adding to 3600764314624 its reverse (4264134670063), we get a palindrome (7864898984687).

The spelling of 3600764314624 in words is "three trillion, six hundred billion, seven hundred sixty-four million, three hundred fourteen thousand, six hundred twenty-four".