34329146640 has 80 divisors (see below), whose sum is σ = 107767507200. Its totient is φ = 9038555136.

The previous prime is 34329146623. The next prime is 34329146647. The reversal of 34329146640 is 4664192343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 34329146592 and 34329146601.

It is not an unprimeable number, because it can be changed into a prime (34329146647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886345 + ... + 924264.

It is an arithmetic number, because the mean of its divisors is an integer number (1347093840).

Almost surely, 2^34329146640 is an apocalyptic number.

34329146640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34329146640 is an abundant number, since it is smaller than the sum of its proper divisors (73438360560).

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

34329146640 is a wasteful number, since it uses less digits than its factorization.

34329146640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810704 (or 1810698 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 34329146640 in words is "thirty-four billion, three hundred twenty-nine million, one hundred forty-six thousand, six hundred forty".