34468405152 has 24 divisors (see below), whose sum is σ = 90479563776. Its totient is φ = 11489468352.

The previous prime is 34468405141. The next prime is 34468405159. The reversal of 34468405152 is 25150486443.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (34468405159) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179522848 + ... + 179523039.

It is an arithmetic number, because the mean of its divisors is an integer number (3769981824).

Almost surely, 2^34468405152 is an apocalyptic number.

34468405152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34468405152 is an abundant number, since it is smaller than the sum of its proper divisors (56011158624).

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

34468405152 is a wasteful number, since it uses less digits than its factorization.

34468405152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359045900 (or 359045892 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 34468405152 in words is "thirty-four billion, four hundred sixty-eight million, four hundred five thousand, one hundred fifty-two".