3404982210 has 256 divisors, whose sum is σ = 10227548160. Its totient is φ = 708238080.

The previous prime is 3404982209. The next prime is 3404982211. The reversal of 3404982210 is 122894043.

It is an interprime number because it is at equal distance from previous prime (3404982209) and next prime (3404982211).

It is not an unprimeable number, because it can be changed into a prime (3404982211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12564375 + ... + 12564645.

It is an arithmetic number, because the mean of its divisors is an integer number (39951360).

Almost surely, 2^3404982210 is an apocalyptic number.

3404982210 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 3404982210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5113774080).

3404982210 is an abundant number, since it is smaller than the sum of its proper divisors (6822565950).

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

3404982210 is a wasteful number, since it uses less digits than its factorization.

3404982210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3404982210 is about 58352.2254074341. The cubic root of 3404982210 is about 1504.4287203112.

The spelling of 3404982210 in words is "three billion, four hundred four million, nine hundred eighty-two thousand, two hundred ten".