3436645126560 has 96 divisors (see below), whose sum is σ = 11462222302272. Its totient is φ = 862530539520.

The previous prime is 3436645126547. The next prime is 3436645126561. The reversal of 3436645126560 is 656215466343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3436645126561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210570586 + ... + 210586905.

It is an arithmetic number, because the mean of its divisors is an integer number (119398148982).

Almost surely, 2^{3436645126560} is an apocalyptic number.

3436645126560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3436645126560 is an abundant number, since it is smaller than the sum of its proper divisors (8025577175712).

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

3436645126560 is a wasteful number, since it uses less digits than its factorization.

3436645126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421157526 (or 421157518 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 51.

The spelling of 3436645126560 in words is "three trillion, four hundred thirty-six billion, six hundred forty-five million, one hundred twenty-six thousand, five hundred sixty".