3661372585728 has 2592 divisors, whose sum is σ = 14363389587456. Its totient is φ = 919683072000.

The previous prime is 3661372585699. The next prime is 3661372585751. The reversal of 3661372585728 is 8275852731663.

3661372585728 is a `hidden beast` number, since 3 + 6 + 6 + 1 + 3 + 7 + 2 + 58 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 51568627933 + ... + 51568628003.

It is an arithmetic number, because the mean of its divisors is an integer number (5541431168).

Almost surely, 2^{3661372585728} 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 3661372585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181694793728).

3661372585728 is an abundant number, since it is smaller than the sum of its proper divisors (10702017001728).

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

3661372585728 is a wasteful number, since it uses less digits than its factorization.

3661372585728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 148 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 3661372585728 in words is "three trillion, six hundred sixty-one billion, three hundred seventy-two million, five hundred eighty-five thousand, seven hundred twenty-eight".