3985293312 has 720 divisors, whose sum is σ = 16030140672. Its totient is φ = 955514880.

The previous prime is 3985293293. The next prime is 3985293313. The reversal of 3985293312 is 2133925893.

3985293312 is a `hidden beast` number, since 3 + 98 + 529 + 3 + 31 + 2 = 666.

Its product of digits (349920) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3985293313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306561018 + ... + 306561030.

Almost surely, 2^3985293312 is an apocalyptic number.

3985293312 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 3985293312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015070336).

3985293312 is an abundant number, since it is smaller than the sum of its proper divisors (12044847360).

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

3985293312 is an equidigital number, since it uses as much as digits as its factorization.

3985293312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 3985293312 is about 63129.1795606437. The cubic root of 3985293312 is about 1585.4532118242.

The spelling of 3985293312 in words is "three billion, nine hundred eighty-five million, two hundred ninety-three thousand, three hundred twelve".