3846548321280 has 2464 divisors, whose sum is σ = 17042108603904. Its totient is φ = 813525368832.

The previous prime is 3846548321279. The next prime is 3846548321339. The reversal of 3846548321280 is 821238456483.

3846548321280 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 548 + 3 + 2 + 12 + 80 = 666.

It is a super-2 number, since 2×3846548321280² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 22234383274 + ... + 22234383446.

Almost surely, 2^{3846548321280} is an apocalyptic number.

3846548321280 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 3846548321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8521054301952).

3846548321280 is an abundant number, since it is smaller than the sum of its proper divisors (13195560282624).

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

3846548321280 is a wasteful number, since it uses less digits than its factorization.

3846548321280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 3846548321280 in words is "three trillion, eight hundred forty-six billion, five hundred forty-eight million, three hundred twenty-one thousand, two hundred eighty".