34135473631360 has 64 divisors (see below), whose sum is σ = 81606097096920. Its totient is φ = 13654025404416.

The previous prime is 34135473631339. The next prime is 34135473631361. The reversal of 34135473631360 is 6313637453143.

It can be written as a sum of positive squares in 4 ways, for example, as 29748995781696 + 4386477849664 = 5454264^2 + 2094392^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (34135473631361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62651632 + ... + 63194128.

Almost surely, 2^{34135473631360} is an apocalyptic number.

It is an amenable number.

34135473631360 is an abundant number, since it is smaller than the sum of its proper divisors (47470623465560).

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

34135473631360 is an equidigital number, since it uses as much as digits as its factorization.

34135473631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640833 (or 640821 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 49.

The spelling of 34135473631360 in words is "thirty-four trillion, one hundred thirty-five billion, four hundred seventy-three million, six hundred thirty-one thousand, three hundred sixty".