3420212310 has 64 divisors (see below), whose sum is σ = 9145287360. Its totient is φ = 909584640.

The previous prime is 3420212297. The next prime is 3420212351. The reversal of 3420212310 is 132120243.

3420212310 is a `hidden beast` number, since 3 + 420 + 212 + 31 + 0 = 666.

It is a super-2 number, since 2×3420212310² = 23395704490951072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 83730 + ... + 117690.

It is an arithmetic number, because the mean of its divisors is an integer number (142895115).

Almost surely, 2^3420212310 is an apocalyptic number.

3420212310 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 3420212310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572643680).

3420212310 is an abundant number, since it is smaller than the sum of its proper divisors (5725075050).

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

3420212310 is a wasteful number, since it uses less digits than its factorization.

3420212310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34350 (or 34344 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3420212310 is about 58482.5812528825. The cubic root of 3420212310 is about 1506.6684307569.

Adding to 3420212310 its reverse (132120243), we get a palindrome (3552332553).

The spelling of 3420212310 in words is "three billion, four hundred twenty million, two hundred twelve thousand, three hundred ten".