3419488224 has 240 divisors, whose sum is σ = 10378866960. Its totient is φ = 1108546560.

The previous prime is 3419488217. The next prime is 3419488249. The reversal of 3419488224 is 4228849143.

3419488224 is a `hidden beast` number, since 3 + 419 + 4 + 8 + 8 + 224 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3419488224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38421172 + ... + 38421260.

It is an arithmetic number, because the mean of its divisors is an integer number (43245279).

Almost surely, 2^3419488224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3419488224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189433480).

3419488224 is an abundant number, since it is smaller than the sum of its proper divisors (6959378736).

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

3419488224 is an frugal number, since it uses more digits than its factorization.

3419488224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 3419488224 is about 58476.3903126723. The cubic root of 3419488224 is about 1506.5620987112.

The spelling of 3419488224 in words is "three billion, four hundred nineteen million, four hundred eighty-eight thousand, two hundred twenty-four".