34078760760 has 128 divisors (see below), whose sum is σ = 114124412160. Its totient is φ = 8069376000.

The previous prime is 34078760743. The next prime is 34078760761. The reversal of 34078760760 is 6706787043.

It is a super-3 number, since 3×34078760760³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34078760761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243441 + ... + 356960.

It is an arithmetic number, because the mean of its divisors is an integer number (891596970).

Almost surely, 2^34078760760 is an apocalyptic number.

34078760760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34078760760 is an abundant number, since it is smaller than the sum of its proper divisors (80045651400).

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

34078760760 is a wasteful number, since it uses less digits than its factorization.

34078760760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600469 (or 600465 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 34078760760 in words is "thirty-four billion, seventy-eight million, seven hundred sixty thousand, seven hundred sixty".