3956051688960 has 640 divisors, whose sum is σ = 15372160404480. Its totient is φ = 847256223744.

The previous prime is 3956051688913. The next prime is 3956051689021. The reversal of 3956051688960 is 698861506593.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 3956051688891 and 3956051688900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207450306 + ... + 207469374.

It is an arithmetic number, because the mean of its divisors is an integer number (24019000632).

Almost surely, 2^{3956051688960} is an apocalyptic number.

3956051688960 is a gapful number since it is divisible by the number (30) 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 3956051688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7686080202240).

3956051688960 is an abundant number, since it is smaller than the sum of its proper divisors (11416108715520).

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

3956051688960 is a wasteful number, since it uses less digits than its factorization.

3956051688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19346 (or 19330 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 66.

The spelling of 3956051688960 in words is "three trillion, nine hundred fifty-six billion, fifty-one million, six hundred eighty-eight thousand, nine hundred sixty".