34628147568 has 160 divisors (see below), whose sum is σ = 113855808000. Its totient is φ = 9871041024.

The previous prime is 34628147563. The next prime is 34628147591. The reversal of 34628147568 is 86574182643.

It is a happy number.

34628147568 is a `hidden beast` number, since 3 + 4 + 62 + 8 + 14 + 7 + 568 = 666.

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 (34628147563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1326708 + ... + 1352556.

It is an arithmetic number, because the mean of its divisors is an integer number (711598800).

Almost surely, 2^34628147568 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 34628147568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56927904000).

34628147568 is an abundant number, since it is smaller than the sum of its proper divisors (79227660432).

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

34628147568 is a wasteful number, since it uses less digits than its factorization.

34628147568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26316 (or 26304 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 34628147568 in words is "thirty-four billion, six hundred twenty-eight million, one hundred forty-seven thousand, five hundred sixty-eight".