3430122436512 has 72 divisors (see below), whose sum is σ = 9766468710180. Its totient is φ = 1141960750080.

The previous prime is 3430122436501. The next prime is 3430122436513. The reversal of 3430122436512 is 2156342210343.

3430122436512 is a `hidden beast` number, since 3 + 430 + 122 + 43 + 65 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2699856479376 + 730265957136 = 1643124^2 + 854556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3430122436512² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3430122436513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7128039 + ... + 7594022.

Almost surely, 2^{3430122436512} is an apocalyptic number.

3430122436512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3430122436512 is an abundant number, since it is smaller than the sum of its proper divisors (6336346273668).

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

3430122436512 is a wasteful number, since it uses less digits than its factorization.

3430122436512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14722886 (or 14722875 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 3430122436512 its reverse (2156342210343), we get a palindrome (5586464646855).

The spelling of 3430122436512 in words is "three trillion, four hundred thirty billion, one hundred twenty-two million, four hundred thirty-six thousand, five hundred twelve".