34049028 has 96 divisors (see below), whose sum is σ = 93308544. Its totient is φ = 9566208.

The previous prime is 34049003. The next prime is 34049053. The reversal of 34049028 is 82094043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34049003) and next prime (34049053).

It is a junction number, because it is equal to n+sod(n) for n = 34048986 and 34049004.

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, 97951 + ... + 98297.

It is an arithmetic number, because the mean of its divisors is an integer number (971964).

Almost surely, 2^34049028 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 34049028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46654272).

34049028 is an abundant number, since it is smaller than the sum of its proper divisors (59259516).

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

34049028 is a wasteful number, since it uses less digits than its factorization.

34049028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 34049028 is about 5835.1544966693. The cubic root of 34049028 is about 324.1168226801.

The spelling of 34049028 in words is "thirty-four million, forty-nine thousand, twenty-eight".