3243727761630 has 256 divisors, whose sum is σ = 9246636933120. Its totient is φ = 722032109568.

The previous prime is 3243727761623. The next prime is 3243727761683. The reversal of 3243727761630 is 361677273423.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10320057 + ... + 10629723.

It is an arithmetic number, because the mean of its divisors is an integer number (36119675520).

Almost surely, 2^{3243727761630} is an apocalyptic number.

3243727761630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243727761630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623318466560).

3243727761630 is an abundant number, since it is smaller than the sum of its proper divisors (6002909171490).

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

3243727761630 is a wasteful number, since it uses less digits than its factorization.

3243727761630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309783.

The product of its (nonzero) digits is 5334336, while the sum is 51.

The spelling of 3243727761630 in words is "three trillion, two hundred forty-three billion, seven hundred twenty-seven million, seven hundred sixty-one thousand, six hundred thirty".