3945530953728 has 1560 divisors, whose sum is σ = 14965437713408. Its totient is φ = 1032386052096.

The previous prime is 3945530953723. The next prime is 3945530953733. The reversal of 3945530953728 is 8273590355493.

It is a happy number.

3945530953728 is a `hidden beast` number, since 3 + 9 + 4 + 5 + 530 + 95 + 3 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3945530953723) and next prime (3945530953733).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3945530953723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31067172801 + ... + 31067172927.

Almost surely, 2^{3945530953728} 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 3945530953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7482718856704).

3945530953728 is an abundant number, since it is smaller than the sum of its proper divisors (11019906759680).

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

3945530953728 is an frugal number, since it uses more digits than its factorization.

3945530953728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 3945530953728 in words is "three trillion, nine hundred forty-five billion, five hundred thirty million, nine hundred fifty-three thousand, seven hundred twenty-eight".