3413414000 has 80 divisors (see below), whose sum is σ = 8455146336. Its totient is φ = 1332032000.

The previous prime is 3413413987. The next prime is 3413414023. The reversal of 3413414000 is 4143143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61187 + ... + 102813.

Almost surely, 2^3413414000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227573168).

3413414000 is an abundant number, since it is smaller than the sum of its proper divisors (5041732336).

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

3413414000 is a wasteful number, since it uses less digits than its factorization.

3413414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41691 (or 41675 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3413414000 is about 58424.4298217792. The cubic root of 3413414000 is about 1505.6695070912.

Adding to 3413414000 its reverse (4143143), we get a palindrome (3417557143).

The spelling of 3413414000 in words is "three billion, four hundred thirteen million, four hundred fourteen thousand".