3868941952512 has 1440 divisors, whose sum is σ = 14836873379328. Its totient is φ = 946901090304.

The previous prime is 3868941952493. The next prime is 3868941952531. The reversal of 3868941952512 is 2152591498683.

3868941952512 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 94 + 1 + 9 + 525 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (3868941952493) and next prime (3868941952531).

It is a super-2 number, since 2×3868941952512² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3868941952512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7691733253 + ... + 7691733755.

Almost surely, 2^{3868941952512} is an apocalyptic number.

3868941952512 is a gapful number since it is divisible by the number (32) 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 3868941952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418436689664).

3868941952512 is an abundant number, since it is smaller than the sum of its proper divisors (10967931426816).

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

3868941952512 is a wasteful number, since it uses less digits than its factorization.

3868941952512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 628 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 3868941952512 in words is "three trillion, eight hundred sixty-eight billion, nine hundred forty-one million, nine hundred fifty-two thousand, five hundred twelve".