34691328648 has 160 divisors (see below), whose sum is σ = 101500027200. Its totient is φ = 11056010112.

The previous prime is 34691328593. The next prime is 34691328653. The reversal of 34691328648 is 84682319643.

34691328648 is a `hidden beast` number, since 3 + 469 + 132 + 8 + 6 + 48 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34691328594 and 34691328603.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1926615 + ... + 1944537.

It is an arithmetic number, because the mean of its divisors is an integer number (634375170).

Almost surely, 2^34691328648 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 34691328648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50750013600).

34691328648 is an abundant number, since it is smaller than the sum of its proper divisors (66808698552).

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

34691328648 is a wasteful number, since it uses less digits than its factorization.

34691328648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18073 (or 18060 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 34691328648 in words is "thirty-four billion, six hundred ninety-one million, three hundred twenty-eight thousand, six hundred forty-eight".