34728276960 has 672 divisors, whose sum is σ = 136274715360. Its totient is φ = 8304021504.

The previous prime is 34728276943. The next prime is 34728276971. The reversal of 34728276960 is 6967282743.

34728276960 is a `hidden beast` number, since 3 + 472 + 82 + 7 + 6 + 96 + 0 = 666.

It is a super-2 number, since 2×34728276960² (a number of 22 digits) contains 22 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 = 34728276897 and 34728276906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 56103531 + ... + 56104149.

It is an arithmetic number, because the mean of its divisors is an integer number (202789755).

Almost surely, 2^34728276960 is an apocalyptic number.

34728276960 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 34728276960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68137357680).

34728276960 is an abundant number, since it is smaller than the sum of its proper divisors (101546438400).

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

34728276960 is a wasteful number, since it uses less digits than its factorization.

34728276960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 679 counting only the distinct ones).

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

The spelling of 34728276960 in words is "thirty-four billion, seven hundred twenty-eight million, two hundred seventy-six thousand, nine hundred sixty".