3434212080 has 480 divisors, whose sum is σ = 13103161344. Its totient is φ = 830850048.

The previous prime is 3434212079. The next prime is 3434212123. The reversal of 3434212080 is 802124343.

3434212080 is a `hidden beast` number, since 3 + 434 + 21 + 208 + 0 = 666.

It is a super-2 number, since 2×3434212080² = 23587625220835852800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27040977 + ... + 27041103.

Almost surely, 2^3434212080 is an apocalyptic number.

3434212080 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 3434212080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551580672).

3434212080 is an abundant number, since it is smaller than the sum of its proper divisors (9668949264).

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

3434212080 is a wasteful number, since it uses less digits than its factorization.

3434212080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3434212080 is about 58602.1508137713. The cubic root of 3434212080 is about 1508.7213537168.

The spelling of 3434212080 in words is "three billion, four hundred thirty-four million, two hundred twelve thousand, eighty".