3413010000 has 200 divisors, whose sum is σ = 11400475680. Its totient is φ = 878528000.

The previous prime is 3413009933. The next prime is 3413010019. The reversal of 3413010000 is 103143.

3413010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 868039 + ... + 871961.

Almost surely, 2^3413010000 is an apocalyptic number.

3413010000 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 3413010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700237840).

3413010000 is an abundant number, since it is smaller than the sum of its proper divisors (7987465680).

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

3413010000 is a wasteful number, since it uses less digits than its factorization.

3413010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3413010000 is about 58420.9722616801. The cubic root of 3413010000 is about 1505.6101027840.

Adding to 3413010000 its reverse (103143), we get a palindrome (3413113143).

The spelling of 3413010000 in words is "three billion, four hundred thirteen million, ten thousand".