3955947061248 has 1440 divisors, whose sum is σ = 14908030824960. Its totient is φ = 1020489891840.

The previous prime is 3955947061243. The next prime is 3955947061277. The reversal of 3955947061248 is 8421607495593.

3955947061248 is a `hidden beast` number, since 3 + 9 + 5 + 5 + 9 + 4 + 7 + 0 + 612 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3955947061243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22100262823 + ... + 22100263001.

It is an arithmetic number, because the mean of its divisors is an integer number (10352799184).

It is a 1-persistent number, because it is pandigital, but 2⋅3955947061248 = 7911894122496 is not.

Almost surely, 2^{3955947061248} 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 3955947061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7454015412480).

3955947061248 is an abundant number, since it is smaller than the sum of its proper divisors (10952083763712).

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

3955947061248 is an equidigital number, since it uses as much as digits as its factorization.

3955947061248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 3955947061248 in words is "three trillion, nine hundred fifty-five billion, nine hundred forty-seven million, sixty-one thousand, two hundred forty-eight".