34008020728 has 32 divisors (see below), whose sum is σ = 69633970560. Its totient is φ = 15442166880.

The previous prime is 34008020699. The next prime is 34008020749. The reversal of 34008020728 is 82702080043.

It is a junction number, because it is equal to n+sod(n) for n = 34008020693 and 34008020702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114726 + ... + 284917.

It is an arithmetic number, because the mean of its divisors is an integer number (2176061580).

Almost surely, 2^34008020728 is an apocalyptic number.

It is an amenable number.

34008020728 is an abundant number, since it is smaller than the sum of its proper divisors (35625949832).

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

34008020728 is a wasteful number, since it uses less digits than its factorization.

34008020728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400627 (or 400623 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 34008020728 in words is "thirty-four billion, eight million, twenty thousand, seven hundred twenty-eight".