3956311424520 has 3200 divisors, whose sum is σ = 18448147872000. Its totient is φ = 752781496320.

The previous prime is 3956311424509. The next prime is 3956311424581. The reversal of 3956311424520 is 254241136593.

3956311424520 is a `hidden beast` number, since 3 + 9 + 5 + 6 + 3 + 114 + 2 + 4 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 799 ways as a sum of consecutive naturals, for example, 55722696085 + ... + 55722696155.

It is an arithmetic number, because the mean of its divisors is an integer number (5765046210).

Almost surely, 2^{3956311424520} is an apocalyptic number.

3956311424520 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 3956311424520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9224073936000).

3956311424520 is an abundant number, since it is smaller than the sum of its proper divisors (14491836447480).

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

3956311424520 is a wasteful number, since it uses less digits than its factorization.

3956311424520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 3956311424520 in words is "three trillion, nine hundred fifty-six billion, three hundred eleven million, four hundred twenty-four thousand, five hundred twenty".