3413340000 has 900 divisors, whose sum is σ = 14931536004. Its totient is φ = 762048000.

The previous prime is 3413339959. The next prime is 3413340023. The reversal of 3413340000 is 433143.

It is a tau number, because it is divible by the number of its divisors (900).

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 polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 79379979 + ... + 79380021.

Almost surely, 2^3413340000 is an apocalyptic number.

3413340000 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 3413340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7465768002).

3413340000 is an abundant number, since it is smaller than the sum of its proper divisors (11518196004).

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

3413340000 is an equidigital number, since it uses as much as digits as its factorization.

3413340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3413340000 is about 58423.7965216229. The cubic root of 3413340000 is about 1505.6586264549.

Adding to 3413340000 its reverse (433143), we get a palindrome (3413773143).

The spelling of 3413340000 in words is "three billion, four hundred thirteen million, three hundred forty thousand".