3413016000 has 560 divisors, whose sum is σ = 13232831040. Its totient is φ = 866764800.

The previous prime is 3413015989. The next prime is 3413016001. The reversal of 3413016000 is 6103143.

3413016000 is a `hidden beast` number, since 34 + 1 + 30 + 1 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413016001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14903886 + ... + 14904114.

Almost surely, 2^3413016000 is an apocalyptic number.

3413016000 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 3413016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616415520).

3413016000 is an abundant number, since it is smaller than the sum of its proper divisors (9819815040).

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

3413016000 is a wasteful number, since it uses less digits than its factorization.

3413016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3413016000 is about 58421.0236130796. The cubic root of 3413016000 is about 1505.6109850605.

Adding to 3413016000 its reverse (6103143), we get a palindrome (3419119143).

The spelling of 3413016000 in words is "three billion, four hundred thirteen million, sixteen thousand".