3847345528320 has 720 divisors, whose sum is σ = 15519565947600. Its totient is φ = 878275657728.

The previous prime is 3847345528267. The next prime is 3847345528361. The reversal of 3847345528320 is 238255437483.

3847345528320 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 3 + 4 + 552 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3847345528320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1166214031 + ... + 1166217329.

It is an arithmetic number, because the mean of its divisors is an integer number (21554952705).

Almost surely, 2^{3847345528320} is an apocalyptic number.

3847345528320 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 3847345528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759782973800).

3847345528320 is an abundant number, since it is smaller than the sum of its proper divisors (11672220419280).

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

3847345528320 is a wasteful number, since it uses less digits than its factorization.

3847345528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 3847345528320 in words is "three trillion, eight hundred forty-seven billion, three hundred forty-five million, five hundred twenty-eight thousand, three hundred twenty".