3851073569664 has 320 divisors, whose sum is σ = 12140403303600. Its totient is φ = 1207631462400.

The previous prime is 3851073569663. The next prime is 3851073569813. The reversal of 3851073569664 is 4669653701583.

3851073569664 is a `hidden beast` number, since 3 + 8 + 5 + 1 + 0 + 7 + 3 + 569 + 6 + 64 = 666.

It is a super-2 number, since 2×3851073569664² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3851073569663) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 581817747 + ... + 581824365.

Almost surely, 2^{3851073569664} is an apocalyptic number.

3851073569664 is a gapful number since it is divisible by the number (34) 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 3851073569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070201651800).

3851073569664 is an abundant number, since it is smaller than the sum of its proper divisors (8289329733936).

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

3851073569664 is a wasteful number, since it uses less digits than its factorization.

3851073569664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9963 (or 9942 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 3851073569664 in words is "three trillion, eight hundred fifty-one billion, seventy-three million, five hundred sixty-nine thousand, six hundred sixty-four".