34192890 has 48 divisors (see below), whose sum is σ = 90170496. Its totient is φ = 8988000.

The previous prime is 34192889. The next prime is 34192901. The reversal of 34192890 is 9829143.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3715 + ... + 9065.

It is an arithmetic number, because the mean of its divisors is an integer number (1878552).

Almost surely, 2^34192890 is an apocalyptic number.

34192890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34192890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45085248).

34192890 is an abundant number, since it is smaller than the sum of its proper divisors (55977606).

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

34192890 is a wasteful number, since it uses less digits than its factorization.

34192890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435 (or 5432 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 34192890 is about 5847.4686831141. The cubic root of 34192890 is about 324.5726612231.

The spelling of 34192890 in words is "thirty-four million, one hundred ninety-two thousand, eight hundred ninety".