3846557704320 has 320 divisors, whose sum is σ = 13742456860440. Its totient is φ = 1025322762240.

The previous prime is 3846557704309. The next prime is 3846557704399. The reversal of 3846557704320 is 234077556483.

It is a happy number.

3846557704320 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 5 + 577 + 0 + 43 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3249597496896 + 596960207424 = 1802664^2 + 772632^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 136480630 + ... + 136508810.

Almost surely, 2^{3846557704320} is an apocalyptic number.

3846557704320 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 3846557704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6871228430220).

3846557704320 is an abundant number, since it is smaller than the sum of its proper divisors (9895899156120).

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

3846557704320 is a wasteful number, since it uses less digits than its factorization.

3846557704320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30845 (or 30824 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 3846557704320 in words is "three trillion, eight hundred forty-six billion, five hundred fifty-seven million, seven hundred four thousand, three hundred twenty".