3386971665 has 192 divisors, whose sum is σ = 7784404992. Its totient is φ = 1371686400.

The previous prime is 3386971663. The next prime is 3386971703. The reversal of 3386971665 is 5661796833.

It is not a de Polignac number, because 3386971665 - 2¹ = 3386971663 is a prime.

It is a super-2 number, since 2×3386971665² = 22943154119025744450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3386971663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3835314 + ... + 3836196.

It is an arithmetic number, because the mean of its divisors is an integer number (40543776).

Almost surely, 2^3386971665 is an apocalyptic number.

3386971665 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3386971665 is an abundant number, since it is smaller than the sum of its proper divisors (4397433327).

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

3386971665 is a wasteful number, since it uses less digits than its factorization.

3386971665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 950 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 3386971665 is about 58197.6946708373. The cubic root of 3386971665 is about 1501.7714870655.

The spelling of 3386971665 in words is "three billion, three hundred eighty-six million, nine hundred seventy-one thousand, six hundred sixty-five".