3985629069312 has 1200 divisors, whose sum is σ = 13711507907328. Its totient is φ = 1142795796480.

The previous prime is 3985629069299. The next prime is 3985629069329. The reversal of 3985629069312 is 2139609265893.

3985629069312 is a `hidden beast` number, since 3 + 9 + 8 + 562 + 9 + 0 + 69 + 3 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3985629069312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25386172338 + ... + 25386172494.

Almost surely, 2^{3985629069312} is an apocalyptic number.

3985629069312 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 3985629069312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855753953664).

3985629069312 is an abundant number, since it is smaller than the sum of its proper divisors (9725878838016).

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

3985629069312 is a wasteful number, since it uses less digits than its factorization.

3985629069312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 3985629069312 in words is "three trillion, nine hundred eighty-five billion, six hundred twenty-nine million, sixty-nine thousand, three hundred twelve".