3407646165 has 128 divisors (see below), whose sum is σ = 7049687040. Its totient is φ = 1375799040.

The previous prime is 3407646163. The next prime is 3407646169. The reversal of 3407646165 is 5616467043.

It is not a de Polignac number, because 3407646165 - 2¹ = 3407646163 is a prime.

It is a super-2 number, since 2×3407646165² = 23224104771678414450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407646163) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5170606 + ... + 5171264.

It is an arithmetic number, because the mean of its divisors is an integer number (55075680).

Almost surely, 2^3407646165 is an apocalyptic number.

3407646165 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3407646165 is an abundant number, since it is smaller than the sum of its proper divisors (3642040875).

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

3407646165 is a wasteful number, since it uses less digits than its factorization.

3407646165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 3407646165 is about 58375.0474518008. The cubic root of 3407646165 is about 1504.8209578662.

The spelling of 3407646165 in words is "three billion, four hundred seven million, six hundred forty-six thousand, one hundred sixty-five".