34728480864 has 384 divisors, whose sum is σ = 126741888000. Its totient is φ = 8987811840.

The previous prime is 34728480847. The next prime is 34728480901. The reversal of 34728480864 is 46808482743.

It is a happy number.

34728480864 is a `hidden beast` number, since 34 + 72 + 8 + 480 + 8 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34728480864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22419162 + ... + 22420710.

It is an arithmetic number, because the mean of its divisors is an integer number (330057000).

Almost surely, 2^34728480864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34728480864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63370944000).

34728480864 is an abundant number, since it is smaller than the sum of its proper divisors (92013407136).

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

34728480864 is a wasteful number, since it uses less digits than its factorization.

34728480864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 34728480864 in words is "thirty-four billion, seven hundred twenty-eight million, four hundred eighty thousand, eight hundred sixty-four".