34628646528 has 192 divisors, whose sum is σ = 118889323200. Its totient is φ = 9893850624.

The previous prime is 34628646497. The next prime is 34628646529. The reversal of 34628646528 is 82564682643.

It is a happy number.

34628646528 is a `hidden beast` number, since 3 + 4 + 628 + 6 + 4 + 6 + 5 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×34628646528² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34628646529) 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, 67101 + ... + 271587.

It is an arithmetic number, because the mean of its divisors is an integer number (619215225).

Almost surely, 2^34628646528 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 34628646528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59444661600).

34628646528 is an abundant number, since it is smaller than the sum of its proper divisors (84260676672).

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

34628646528 is a wasteful number, since it uses less digits than its factorization.

34628646528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204524 (or 204499 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 34628646528 in words is "thirty-four billion, six hundred twenty-eight million, six hundred forty-six thousand, five hundred twenty-eight".