3430164428361 has 48 divisors (see below), whose sum is σ = 5592062840832. Its totient is φ = 2007284479200.

The previous prime is 3430164428333. The next prime is 3430164428393. The reversal of 3430164428361 is 1638244610343.

3430164428361 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 164 + 428 + 3 + 61 = 666.

It is not a de Polignac number, because 3430164428361 - 2³⁰ = 3429090686537 is a prime.

It is a super-2 number, since 2×3430164428361² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3430164428311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98076 + ... + 2621058.

It is an arithmetic number, because the mean of its divisors is an integer number (116501309184).

Almost surely, 2^{3430164428361} is an apocalyptic number.

3430164428361 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3430164428361 is a deficient number, since it is larger than the sum of its proper divisors (2161898412471).

3430164428361 is a wasteful number, since it uses less digits than its factorization.

3430164428361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523474 (or 2523471 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3430164428361 in words is "three trillion, four hundred thirty billion, one hundred sixty-four million, four hundred twenty-eight thousand, three hundred sixty-one".