3413242800 has 600 divisors, whose sum is σ = 13669064112. Its totient is φ = 808704000.

The previous prime is 3413242799. The next prime is 3413242801. The reversal of 3413242800 is 82423143.

3413242800 is a `hidden beast` number, since 3 + 413 + 242 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3413242799) and next prime (3413242801).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (3413242801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21740322 + ... + 21740478.

Almost surely, 2^3413242800 is an apocalyptic number.

3413242800 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 3413242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6834532056).

3413242800 is an abundant number, since it is smaller than the sum of its proper divisors (10255821312).

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

3413242800 is a wasteful number, since it uses less digits than its factorization.

3413242800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

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

The square root of 3413242800 is about 58422.9646628789. The cubic root of 3413242800 is about 1505.6443343531.

Adding to 3413242800 its reverse (82423143), we get a palindrome (3495665943).

The spelling of 3413242800 in words is "three billion, four hundred thirteen million, two hundred forty-two thousand, eight hundred".