34001028 has 18 divisors (see below), whose sum is σ = 85947134. Its totient is φ = 11333664.

The previous prime is 34000999. The next prime is 34001029. The reversal of 34001028 is 82010043.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 31337604 + 2663424 = 5598^2 + 1632^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 34001028.

It is not an unprimeable number, because it can be changed into a prime (34001029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 472201 + ... + 472272.

Almost surely, 2^34001028 is an apocalyptic number.

It is an amenable number.

34001028 is an abundant number, since it is smaller than the sum of its proper divisors (51946106).

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

34001028 is a wasteful number, since it uses less digits than its factorization.

34001028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944483 (or 944478 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 34001028 is about 5831.0400444518. The cubic root of 34001028 is about 323.9644451154.

The spelling of 34001028 in words is "thirty-four million, one thousand, twenty-eight".