34217430964224 has 96 divisors (see below), whose sum is σ = 92076770036160. Its totient is φ = 11299213746176.

The previous prime is 34217430964219. The next prime is 34217430964229. The reversal of 34217430964224 is 42246903471243.

It is an interprime number because it is at equal distance from previous prime (34217430964219) and next prime (34217430964229).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34217430964229) 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, 25367094 + ... + 26681909.

It is an arithmetic number, because the mean of its divisors is an integer number (959133021210).

Almost surely, 2^{34217430964224} is an apocalyptic number.

It is an amenable number.

34217430964224 is an abundant number, since it is smaller than the sum of its proper divisors (57859339071936).

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

34217430964224 is a wasteful number, since it uses less digits than its factorization.

34217430964224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52049135 (or 52049115 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 34217430964224 in words is "thirty-four trillion, two hundred seventeen billion, four hundred thirty million, nine hundred sixty-four thousand, two hundred twenty-four".