34245533605640 has 1024 divisors, whose sum is σ = 100926259200000. Its totient is φ = 10191481896960.

The previous prime is 34245533605627. The next prime is 34245533605649. The reversal of 34245533605640 is 4650633554243.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34245533605649) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 88034790566 + ... + 88034790954.

It is an arithmetic number, because the mean of its divisors is an integer number (98560800000).

Almost surely, 2^{34245533605640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34245533605640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50463129600000).

34245533605640 is an abundant number, since it is smaller than the sum of its proper divisors (66680725594360).

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

34245533605640 is a wasteful number, since it uses less digits than its factorization.

34245533605640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 50.

The spelling of 34245533605640 in words is "thirty-four trillion, two hundred forty-five billion, five hundred thirty-three million, six hundred five thousand, six hundred forty".