3595321002672 has 640 divisors, whose sum is σ = 12471521771520. Its totient is φ = 969499238400.

The previous prime is 3595321002643. The next prime is 3595321002797. The reversal of 3595321002672 is 2762001235953.

3595321002672 is a `hidden beast` number, since 3 + 5 + 9 + 532 + 100 + 2 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×3595321002672² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3123649297 + ... + 3123650447.

It is an arithmetic number, because the mean of its divisors is an integer number (19486752768).

Almost surely, 2^{3595321002672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3595321002672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235760885760).

3595321002672 is an abundant number, since it is smaller than the sum of its proper divisors (8876200768848).

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

3595321002672 is a wasteful number, since it uses less digits than its factorization.

3595321002672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 3595321002672 in words is "three trillion, five hundred ninety-five billion, three hundred twenty-one million, two thousand, six hundred seventy-two".