34356416460 has 24 divisors (see below), whose sum is σ = 96197966256. Its totient is φ = 9161711040.

The previous prime is 34356416431. The next prime is 34356416461. The reversal of 34356416460 is 6461465343.

It is not an unprimeable number, because it can be changed into a prime (34356416461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286303411 + ... + 286303530.

It is an arithmetic number, because the mean of its divisors is an integer number (4008248594).

Almost surely, 2^34356416460 is an apocalyptic number.

34356416460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34356416460 is an abundant number, since it is smaller than the sum of its proper divisors (61841549796).

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

34356416460 is a wasteful number, since it uses less digits than its factorization.

34356416460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572606953 (or 572606951 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 34356416460 in words is "thirty-four billion, three hundred fifty-six million, four hundred sixteen thousand, four hundred sixty".