3413062800 has 720 divisors, whose sum is σ = 14852477952. Its totient is φ = 707788800.

The previous prime is 3413062729. The next prime is 3413062843. The reversal of 3413062800 is 82603143.

3413062800 = T₅₉₁₅ + T₅₉₁₆ + ... + T₆₁₀₃.

It is a happy number.

3413062800 is a `hidden beast` number, since 3 + 4 + 1 + 30 + 628 + 0 + 0 = 666.

3413062800 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 (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13280272 + ... + 13280528.

Almost surely, 2^3413062800 is an apocalyptic number.

3413062800 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 3413062800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7426238976).

3413062800 is an abundant number, since it is smaller than the sum of its proper divisors (11439415152).

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

3413062800 is a wasteful number, since it uses less digits than its factorization.

3413062800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3413062800 is about 58421.4241524460. The cubic root of 3413062800 is about 1505.6178667815.

Adding to 3413062800 its reverse (82603143), we get a palindrome (3495665943).

The spelling of 3413062800 in words is "three billion, four hundred thirteen million, sixty-two thousand, eight hundred".