3985167810 has 64 divisors (see below), whose sum is σ = 10424308608. Its totient is φ = 969137664.

The previous prime is 3985167793. The next prime is 3985167817. The reversal of 3985167810 is 187615893.

3985167810 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×3985167810⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3985167810.

It is not an unprimeable number, because it can be changed into a prime (3985167817) 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, 29187 + ... + 93926.

It is an arithmetic number, because the mean of its divisors is an integer number (162879822).

Almost surely, 2^3985167810 is an apocalyptic number.

3985167810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3985167810 is an abundant number, since it is smaller than the sum of its proper divisors (6439140798).

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

3985167810 is a wasteful number, since it uses less digits than its factorization.

3985167810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123219.

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 3985167810 is about 63128.1855433847. The cubic root of 3985167810 is about 1585.4365689975.

The spelling of 3985167810 in words is "three billion, nine hundred eighty-five million, one hundred sixty-seven thousand, eight hundred ten".