3973712085 has 36 divisors (see below), whose sum is σ = 8012305548. Its totient is φ = 1816553088.

The previous prime is 3973712069. The next prime is 3973712101. The reversal of 3973712085 is 5802173793.

It is a happy number.

3973712085 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 an interprime number because it is at equal distance from previous prime (3973712069) and next prime (3973712101).

It can be written as a sum of positive squares in 2 ways, for example, as 2940025284 + 1033686801 = 54222^2 + 32151^2 .

It is not a de Polignac number, because 3973712085 - 2⁴ = 3973712069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3973712085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 898864 + ... + 903273.

It is an arithmetic number, because the mean of its divisors is an integer number (222564043).

Almost surely, 2^3973712085 is an apocalyptic number.

3973712085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3973712085 is an abundant number, since it is smaller than the sum of its proper divisors (4038593463).

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

3973712085 is a wasteful number, since it uses less digits than its factorization.

3973712085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802162 (or 1802152 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3973712085 is about 63037.3864067983. The cubic root of 3973712085 is about 1583.9159507840.

The spelling of 3973712085 in words is "three billion, nine hundred seventy-three million, seven hundred twelve thousand, eighty-five".