3416413000 has 256 divisors, whose sum is σ = 10736893440. Its totient is φ = 982656000.

The previous prime is 3416412997. The next prime is 3416413079. The reversal of 3416413000 is 3146143.

It is a super-3 number, since 3×3416413000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 999294 + ... + 1002706.

It is an arithmetic number, because the mean of its divisors is an integer number (41940990).

Almost surely, 2^3416413000 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 3416413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368446720).

3416413000 is an abundant number, since it is smaller than the sum of its proper divisors (7320480440).

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

3416413000 is a wasteful number, since it uses less digits than its factorization.

3416413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3416413000 is about 58450.0898202903. The cubic root of 3416413000 is about 1506.1103346681.

Adding to 3416413000 its reverse (3146143), we get a palindrome (3419559143).

The spelling of 3416413000 in words is "three billion, four hundred sixteen million, four hundred thirteen thousand".