34728039268 has 48 divisors (see below), whose sum is σ = 67324506480. Its totient is φ = 15572275200.

The previous prime is 34728039233. The next prime is 34728039287. The reversal of 34728039268 is 86293082743.

34728039268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3575083264 + 31152956004 = 59792^2 + 176502^2 .

It is a super-2 number, since 2×34728039268² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480018 + ... + 547606.

It is an arithmetic number, because the mean of its divisors is an integer number (1402593885).

Almost surely, 2^34728039268 is an apocalyptic number.

It is an amenable number.

34728039268 is a deficient number, since it is larger than the sum of its proper divisors (32596467212).

34728039268 is a wasteful number, since it uses less digits than its factorization.

34728039268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67888 (or 67886 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 34728039268 in words is "thirty-four billion, seven hundred twenty-eight million, thirty-nine thousand, two hundred sixty-eight".