34513788960 has 1440 divisors, whose sum is σ = 157675351680. Its totient is φ = 7050903552.

The previous prime is 34513788949. The next prime is 34513788973. The reversal of 34513788960 is 6988731543.

34513788960 is a `hidden beast` number, since 34 + 513 + 7 + 8 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×34513788960³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34513788897 and 34513788906.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 248300571 + ... + 248300709.

It is an arithmetic number, because the mean of its divisors is an integer number (109496772).

Almost surely, 2^34513788960 is an apocalyptic number.

34513788960 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 34513788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78837675840).

34513788960 is an abundant number, since it is smaller than the sum of its proper divisors (123161562720).

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

34513788960 is a wasteful number, since it uses less digits than its factorization.

34513788960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 34513788960 in words is "thirty-four billion, five hundred thirteen million, seven hundred eighty-eight thousand, nine hundred sixty".