34084890 has 144 divisors (see below), whose sum is σ = 105636960. Its totient is φ = 7600320.

The previous prime is 34084877. The next prime is 34084891. The reversal of 34084890 is 9848043.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34084891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 260125 + ... + 260255.

It is an arithmetic number, because the mean of its divisors is an integer number (733590).

Almost surely, 2^34084890 is an apocalyptic number.

34084890 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 34084890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52818480).

34084890 is an abundant number, since it is smaller than the sum of its proper divisors (71552070).

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

34084890 is a wasteful number, since it uses less digits than its factorization.

34084890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34084890 is about 5838.2266143068. The cubic root of 34084890 is about 324.2305743276.

The spelling of 34084890 in words is "thirty-four million, eighty-four thousand, eight hundred ninety".