3413404800 has 480 divisors, whose sum is σ = 13578544980. Its totient is φ = 839393280.

The previous prime is 3413404759. The next prime is 3413404817. The reversal of 3413404800 is 84043143.

It can be written as a sum of positive squares in 6 ways, for example, as 20575296 + 3392829504 = 4536^2 + 58248^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3369094 + ... + 3370106.

Almost surely, 2^3413404800 is an apocalyptic number.

3413404800 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 3413404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789272490).

3413404800 is an abundant number, since it is smaller than the sum of its proper divisors (10165140180).

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

3413404800 is a wasteful number, since it uses less digits than its factorization.

3413404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3413404800 is about 58424.3510875388. The cubic root of 3413404800 is about 1505.6681543720.

Adding to 3413404800 its reverse (84043143), we get a palindrome (3497447943).

The spelling of 3413404800 in words is "three billion, four hundred thirteen million, four hundred four thousand, eight hundred".