3845071356588 has 648 divisors, whose sum is σ = 12958437522576. Its totient is φ = 993257717760.

The previous prime is 3845071356583. The next prime is 3845071356701. The reversal of 3845071356588 is 8856531705483.

3845071356588 is a `hidden beast` number, since 3 + 8 + 4 + 50 + 7 + 13 + 565 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3845071356583) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1112254956 + ... + 1112258412.

Almost surely, 2^{3845071356588} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3845071356588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479218761288).

3845071356588 is an abundant number, since it is smaller than the sum of its proper divisors (9113366165988).

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

3845071356588 is a wasteful number, since it uses less digits than its factorization.

3845071356588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 3845071356588 in words is "three trillion, eight hundred forty-five billion, seventy-one million, three hundred fifty-six thousand, five hundred eighty-eight".