3947353814880 has 768 divisors, whose sum is σ = 16547328000000. Its totient is φ = 877854910464.

The previous prime is 3947353814867. The next prime is 3947353814909. The reversal of 3947353814880 is 884183537493.

3947353814880 is a `hidden beast` number, since 3 + 9 + 4 + 7 + 3 + 538 + 14 + 8 + 80 = 666.

3947353814880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 54789121 + ... + 54861119.

It is an arithmetic number, because the mean of its divisors is an integer number (21546000000).

Almost surely, 2^{3947353814880} is an apocalyptic number.

3947353814880 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 3947353814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273664000000).

3947353814880 is an abundant number, since it is smaller than the sum of its proper divisors (12599974185120).

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

3947353814880 is a wasteful number, since it uses less digits than its factorization.

3947353814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72081 (or 72053 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 3947353814880 in words is "three trillion, nine hundred forty-seven billion, three hundred fifty-three million, eight hundred fourteen thousand, eight hundred eighty".