3845678316480 has 4480 divisors, whose sum is σ = 20074957056000. Its totient is φ = 672204718080.

The previous prime is 3845678316413. The next prime is 3845678316497. The reversal of 3845678316480 is 846138765483.

3845678316480 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 67 + 83 + 16 + 480 = 666.

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 639 ways as a sum of consecutive naturals, for example, 14296201786 + ... + 14296202054.

It is an arithmetic number, because the mean of its divisors is an integer number (4481017200).

Almost surely, 2^{3845678316480} is an apocalyptic number.

3845678316480 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 3845678316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10037478528000).

3845678316480 is an abundant number, since it is smaller than the sum of its proper divisors (16229278739520).

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

3845678316480 is a wasteful number, since it uses less digits than its factorization.

3845678316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 3845678316480 in words is "three trillion, eight hundred forty-five billion, six hundred seventy-eight million, three hundred sixteen thousand, four hundred eighty".