3985598520 has 384 divisors, whose sum is σ = 14050895040. Its totient is φ = 1015234560.

The previous prime is 3985598501. The next prime is 3985598531. The reversal of 3985598520 is 258955893.

3985598520 is a `hidden beast` number, since 3 + 9 + 8 + 559 + 85 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29091892 + ... + 29092028.

Almost surely, 2^3985598520 is an apocalyptic number.

3985598520 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 3985598520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025447520).

3985598520 is an abundant number, since it is smaller than the sum of its proper divisors (10065296520).

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

3985598520 is a wasteful number, since it uses less digits than its factorization.

3985598520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The square root of 3985598520 is about 63131.5968434191. The cubic root of 3985598520 is about 1585.4936840148.

The spelling of 3985598520 in words is "three billion, nine hundred eighty-five million, five hundred ninety-eight thousand, five hundred twenty".