34649538560 has 432 divisors, whose sum is σ = 105431817456. Its totient is φ = 10833887232.

The previous prime is 34649538559. The next prime is 34649538563. The reversal of 34649538560 is 6583594643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34649538563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417464279 + ... + 417464361.

It is an arithmetic number, because the mean of its divisors is an integer number (244055133).

Almost surely, 2^34649538560 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 34649538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52715908728).

34649538560 is an abundant number, since it is smaller than the sum of its proper divisors (70782278896).

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

34649538560 is an frugal number, since it uses more digits than its factorization.

34649538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 53.

The spelling of 34649538560 in words is "thirty-four billion, six hundred forty-nine million, five hundred thirty-eight thousand, five hundred sixty".