34728382704 has 160 divisors (see below), whose sum is σ = 96295622400. Its totient is φ = 10752030720.

The previous prime is 34728382691. The next prime is 34728382727. The reversal of 34728382704 is 40728382743.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29109532 + ... + 29110724.

It is an arithmetic number, because the mean of its divisors is an integer number (601847640).

Almost surely, 2^34728382704 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 34728382704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48147811200).

34728382704 is an abundant number, since it is smaller than the sum of its proper divisors (61567239696).

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

34728382704 is a wasteful number, since it uses less digits than its factorization.

34728382704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 34728382704 in words is "thirty-four billion, seven hundred twenty-eight million, three hundred eighty-two thousand, seven hundred four".