3419020800 has 480 divisors, whose sum is σ = 13532571360. Its totient is φ = 840499200.

The previous prime is 3419020753. The next prime is 3419020867. The reversal of 3419020800 is 80209143.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4492420 + ... + 4493180.

It is an arithmetic number, because the mean of its divisors is an integer number (28192857).

Almost surely, 2^3419020800 is an apocalyptic number.

3419020800 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 3419020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766285680).

3419020800 is an abundant number, since it is smaller than the sum of its proper divisors (10113550560).

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

3419020800 is a wasteful number, since it uses less digits than its factorization.

3419020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3419020800 is about 58472.3934861572. The cubic root of 3419020800 is about 1506.4934495133.

Adding to 3419020800 its reverse (80209143), we get a palindrome (3499229943).

The spelling of 3419020800 in words is "three billion, four hundred nineteen million, twenty thousand, eight hundred".