3661411003712 has 168 divisors, whose sum is σ = 9134631179520. Its totient is φ = 1425338956800.

The previous prime is 3661411003703. The next prime is 3661411003741. The reversal of 3661411003712 is 2173001141663.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 66702614 + ... + 66757482.

It is an arithmetic number, because the mean of its divisors is an integer number (54372804640).

Almost surely, 2^{3661411003712} is an apocalyptic number.

3661411003712 is a gapful number since it is divisible by the number (32) 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 3661411003712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567315589760).

3661411003712 is an abundant number, since it is smaller than the sum of its proper divisors (5473220175808).

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

3661411003712 is a wasteful number, since it uses less digits than its factorization.

3661411003712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56141 (or 56120 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 3661411003712 in words is "three trillion, six hundred sixty-one billion, four hundred eleven million, three thousand, seven hundred twelve".