34478760960 has 528 divisors, whose sum is σ = 137695958400. Its totient is φ = 7813988352.

The previous prime is 34478760959. The next prime is 34478761039. The reversal of 34478760960 is 6906787443.

It is a happy number.

34478760960 is a `hidden beast` number, since 3 + 447 + 87 + 60 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34478760897 and 34478760906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44835456 + ... + 44836224.

It is an arithmetic number, because the mean of its divisors is an integer number (260787800).

Almost surely, 2^34478760960 is an apocalyptic number.

34478760960 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 34478760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68847979200).

34478760960 is an abundant number, since it is smaller than the sum of its proper divisors (103217197440).

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

34478760960 is a wasteful number, since it uses less digits than its factorization.

34478760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 34478760960 in words is "thirty-four billion, four hundred seventy-eight million, seven hundred sixty thousand, nine hundred sixty".