3845471416320 has 208 divisors, whose sum is σ = 13027775015520. Its totient is φ = 965137661952.

The previous prime is 3845471416301. The next prime is 3845471416321. The reversal of 3845471416320 is 236141745483.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3845471416320.

It is not an unprimeable number, because it can be changed into a prime (3845471416321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 796375 + ... + 2885334.

Almost surely, 2^{3845471416320} is an apocalyptic number.

3845471416320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3845471416320 is an abundant number, since it is smaller than the sum of its proper divisors (9182303599200).

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

3845471416320 is a wasteful number, since it uses less digits than its factorization.

3845471416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681758 (or 3681736 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 3845471416320 in words is "three trillion, eight hundred forty-five billion, four hundred seventy-one million, four hundred sixteen thousand, three hundred twenty".