3985655520 has 192 divisors, whose sum is σ = 15652901376. Its totient is φ = 828180480.

The previous prime is 3985655467. The next prime is 3985655539. The reversal of 3985655520 is 255565893.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3985655520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16959 + ... + 90878.

It is an arithmetic number, because the mean of its divisors is an integer number (81525528).

Almost surely, 2^3985655520 is an apocalyptic number.

3985655520 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 3985655520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826450688).

3985655520 is an abundant number, since it is smaller than the sum of its proper divisors (11667245856).

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

3985655520 is a wasteful number, since it uses less digits than its factorization.

3985655520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107873 (or 107865 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 48.

The square root of 3985655520 is about 63132.0482797763. The cubic root of 3985655520 is about 1585.5012422865.

The spelling of 3985655520 in words is "three billion, nine hundred eighty-five million, six hundred fifty-five thousand, five hundred twenty".