3424340010 has 384 divisors, whose sum is σ = 11003973120. Its totient is φ = 674666496.

The previous prime is 3424340009. The next prime is 3424340033. The reversal of 3424340010 is 100434243.

It is a super-2 number, since 2×3424340010² = 23452209008173600200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon 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 191 ways as a sum of consecutive naturals, for example, 20504947 + ... + 20505113.

It is an arithmetic number, because the mean of its divisors is an integer number (28656180).

Almost surely, 2^3424340010 is an apocalyptic number.

3424340010 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 3424340010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501986560).

3424340010 is an abundant number, since it is smaller than the sum of its proper divisors (7579633110).

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

3424340010 is a wasteful number, since it uses less digits than its factorization.

3424340010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3424340010 is about 58517.8606068267. The cubic root of 3424340010 is about 1507.2742971529.

Adding to 3424340010 its reverse (100434243), we get a palindrome (3524774253).

The spelling of 3424340010 in words is "three billion, four hundred twenty-four million, three hundred forty thousand, ten".