34194659328 has 360 divisors, whose sum is σ = 107984216340. Its totient is φ = 10779402240.

The previous prime is 34194659327. The next prime is 34194659329. The reversal of 34194659328 is 82395649143.

34194659328 is a `hidden beast` number, since 3 + 4 + 1 + 9 + 46 + 593 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (34194659327) and next prime (34194659329).

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 (34194659327) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 59885283 + ... + 59885853.

Almost surely, 2^34194659328 is an apocalyptic number.

34194659328 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34194659328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53992108170).

34194659328 is an abundant number, since it is smaller than the sum of its proper divisors (73789557012).

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

34194659328 is an equidigital number, since it uses as much as digits as its factorization.

34194659328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 595 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 34194659328 in words is "thirty-four billion, one hundred ninety-four million, six hundred fifty-nine thousand, three hundred twenty-eight".