3985098912 has 288 divisors, whose sum is σ = 12722673600. Its totient is φ = 1224440064.

The previous prime is 3985098899. The next prime is 3985098913. The reversal of 3985098912 is 2198905893.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3985098913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107705358 + ... + 107705394.

It is an arithmetic number, because the mean of its divisors is an integer number (44175950).

Almost surely, 2^3985098912 is an apocalyptic number.

3985098912 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 3985098912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361336800).

3985098912 is an abundant number, since it is smaller than the sum of its proper divisors (8737574688).

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

3985098912 is an frugal number, since it uses more digits than its factorization.

3985098912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 3985098912 is about 63127.6398418316. The cubic root of 3985098912 is about 1585.4274322816.

The spelling of 3985098912 in words is "three billion, nine hundred eighty-five million, ninety-eight thousand, nine hundred twelve".