34786290 has 144 divisors (see below), whose sum is σ = 107787456. Its totient is φ = 7032960.

The previous prime is 34786277. The next prime is 34786303. The reversal of 34786290 is 9268743.

34786290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34786277) and next prime (34786303).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 940152 + ... + 940188.

It is an arithmetic number, because the mean of its divisors is an integer number (748524).

Almost surely, 2^34786290 is an apocalyptic number.

34786290 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 34786290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53893728).

34786290 is an abundant number, since it is smaller than the sum of its proper divisors (73001166).

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

34786290 is a wasteful number, since it uses less digits than its factorization.

34786290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 34786290 is about 5897.9903356991. The cubic root of 34786290 is about 326.4395003077.

The spelling of 34786290 in words is "thirty-four million, seven hundred eighty-six thousand, two hundred ninety".