34513459680 has 288 divisors, whose sum is σ = 126691858944. Its totient is φ = 7874786304.

The previous prime is 34513459667. The next prime is 34513459697. The reversal of 34513459680 is 8695431543.

It is a super-3 number, since 3×34513459680³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19356069 + ... + 19357851.

It is an arithmetic number, because the mean of its divisors is an integer number (439902288).

Almost surely, 2^34513459680 is an apocalyptic number.

34513459680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34513459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63345929472).

34513459680 is an abundant number, since it is smaller than the sum of its proper divisors (92178399264).

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

34513459680 is a wasteful number, since it uses less digits than its factorization.

34513459680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 34513459680 in words is "thirty-four billion, five hundred thirteen million, four hundred fifty-nine thousand, six hundred eighty".