34564425301728 has 96 divisors (see below), whose sum is σ = 115214751025920. Its totient is φ = 9875550084480.

The previous prime is 34564425301727. The next prime is 34564425301733. The reversal of 34564425301728 is 82710352446543.

34564425301728 is a `hidden beast` number, since 3 + 4 + 5 + 64 + 42 + 530 + 1 + 7 + 2 + 8 = 666.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34564425301727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2857502658 + ... + 2857514753.

It is an arithmetic number, because the mean of its divisors is an integer number (1200153656520).

Almost surely, 2^{34564425301728} is an apocalyptic number.

It is an amenable number.

34564425301728 is an abundant number, since it is smaller than the sum of its proper divisors (80650325724192).

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

34564425301728 is a wasteful number, since it uses less digits than its factorization.

34564425301728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5715017437 (or 5715017423 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 34564425301728 in words is "thirty-four trillion, five hundred sixty-four billion, four hundred twenty-five million, three hundred one thousand, seven hundred twenty-eight".