3402564165 has 360 divisors, whose sum is σ = 8475861240. Its totient is φ = 1293304320.

The previous prime is 3402564163. The next prime is 3402564199. The reversal of 3402564165 is 5614652043.

3402564165 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 5 + 641 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 173369889 + 3229194276 = 13167^2 + 56826^2 .

It is not a de Polignac number, because 3402564165 - 2¹ = 3402564163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402564163) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 31216131 + ... + 31216239.

It is an arithmetic number, because the mean of its divisors is an integer number (23544059).

Almost surely, 2^3402564165 is an apocalyptic number.

3402564165 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3402564165 is an abundant number, since it is smaller than the sum of its proper divisors (5073297075).

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

3402564165 is a wasteful number, since it uses less digits than its factorization.

3402564165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3402564165 is about 58331.5023379306. The cubic root of 3402564165 is about 1504.0725130849.

The spelling of 3402564165 in words is "three billion, four hundred two million, five hundred sixty-four thousand, one hundred sixty-five".