3434820 has 96 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 823680.

The previous prime is 3434819. The next prime is 3434887. The reversal of 3434820 is 284343.

3434820 = T₃₆₈ + T₃₆₉ + ... + T₄₁₂.

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, 26155 + ... + 26285.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

Almost surely, 2^3434820 is an apocalyptic number.

3434820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

3434820 is an abundant number, since it is smaller than the sum of its proper divisors (7209660).

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

3434820 is a wasteful number, since it uses less digits than its factorization.

3434820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3434820 is about 1853.3267385974. The cubic root of 3434820 is about 150.8810372464.

The spelling of 3434820 in words is "three million, four hundred thirty-four thousand, eight hundred twenty".