3413412000 has 288 divisors, whose sum is σ = 12349668240. Its totient is φ = 892569600.

The previous prime is 3413411993. The next prime is 3413412011. The reversal of 3413412000 is 2143143.

It can be written as a sum of positive squares in 8 ways, for example, as 989228304 + 2424183696 = 31452^2 + 49236^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 1907106 + ... + 1908894.

Almost surely, 2^3413412000 is an apocalyptic number.

3413412000 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 3413412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174834120).

3413412000 is an abundant number, since it is smaller than the sum of its proper divisors (8936256240).

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

3413412000 is a wasteful number, since it uses less digits than its factorization.

3413412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1852 counting only the distinct ones).

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

The square root of 3413412000 is about 58424.4127056490. The cubic root of 3413412000 is about 1505.6692130220.

Adding to 3413412000 its reverse (2143143), we get a palindrome (3415555143).

The spelling of 3413412000 in words is "three billion, four hundred thirteen million, four hundred twelve thousand".