3413163600 has 540 divisors, whose sum is σ = 15039573120. Its totient is φ = 708825600.

The previous prime is 3413163583. The next prime is 3413163623. The reversal of 3413163600 is 63613143.

3413163600 is a `hidden beast` number, since 3 + 41 + 3 + 16 + 3 + 600 = 666.

3413163600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1939521 + ... + 1941279.

Almost surely, 2^3413163600 is an apocalyptic number.

3413163600 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 3413163600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7519786560).

3413163600 is an abundant number, since it is smaller than the sum of its proper divisors (11626409520).

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

3413163600 is a wasteful number, since it uses less digits than its factorization.

3413163600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3413163600 is about 58422.2868432929. The cubic root of 3413163600 is about 1505.6326887363.

Adding to 3413163600 its reverse (63613143), we get a palindrome (3476776743).

The spelling of 3413163600 in words is "three billion, four hundred thirteen million, one hundred sixty-three thousand, six hundred".