3985735680 has 512 divisors, whose sum is σ = 15288004800. Its totient is φ = 981467136.

The previous prime is 3985735667. The next prime is 3985735681. The reversal of 3985735680 is 865375893.

It is a happy number.

3985735680 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 73 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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 (3985735681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75202534 + ... + 75202586.

Almost surely, 2^3985735680 is an apocalyptic number.

3985735680 is a gapful number since it is divisible by the number (30) 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 3985735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644002400).

3985735680 is an abundant number, since it is smaller than the sum of its proper divisors (11302269120).

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

3985735680 is an equidigital number, since it uses as much as digits as its factorization.

3985735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 3985735680 is about 63132.6831363914. The cubic root of 3985735680 is about 1585.5118714814.

The spelling of 3985735680 in words is "three billion, nine hundred eighty-five million, seven hundred thirty-five thousand, six hundred eighty".