3985477506 has 96 divisors (see below), whose sum is σ = 9560678400. Its totient is φ = 1240641360.

The previous prime is 3985477493. The next prime is 3985477519. The reversal of 3985477506 is 6057745893.

3985477506 is a `hidden beast` number, since 3 + 98 + 5 + 47 + 7 + 506 = 666.

It is an interprime number because it is at equal distance from previous prime (3985477493) and next prime (3985477519).

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

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 47 ways as a sum of consecutive naturals, for example, 652575 + ... + 658653.

It is an arithmetic number, because the mean of its divisors is an integer number (99590400).

Almost surely, 2^3985477506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3985477506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780339200).

3985477506 is an abundant number, since it is smaller than the sum of its proper divisors (5575200894).

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

3985477506 is a wasteful number, since it uses less digits than its factorization.

3985477506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6186 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 3985477506 is about 63130.6384095710. The cubic root of 3985477506 is about 1585.4776371674.

The spelling of 3985477506 in words is "three billion, nine hundred eighty-five million, four hundred seventy-seven thousand, five hundred six".