3845475779520 has 224 divisors, whose sum is σ = 12862111334400. Its totient is φ = 970723160064.

The previous prime is 3845475779471. The next prime is 3845475779609. The reversal of 3845475779520 is 259775745483.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23246542 + ... + 23411378.

Almost surely, 2^{3845475779520} is an apocalyptic number.

3845475779520 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 3845475779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431055667200).

3845475779520 is an abundant number, since it is smaller than the sum of its proper divisors (9016635554880).

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

3845475779520 is a wasteful number, since it uses less digits than its factorization.

3845475779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166155 (or 166145 counting only the distinct ones).

The product of its (nonzero) digits is 296352000, while the sum is 66.

The spelling of 3845475779520 in words is "three trillion, eight hundred forty-five billion, four hundred seventy-five million, seven hundred seventy-nine thousand, five hundred twenty".