3414819408 has 540 divisors, whose sum is σ = 12386019744. Its totient is φ = 807206400.

The previous prime is 3414819389. The next prime is 3414819431. The reversal of 3414819408 is 8049184143.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3414819408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 48096013 + ... + 48096083.

Almost surely, 2^3414819408 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 3414819408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193009872).

3414819408 is an abundant number, since it is smaller than the sum of its proper divisors (8971200336).

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

3414819408 is a wasteful number, since it uses less digits than its factorization.

3414819408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 3414819408 is about 58436.4561553830. The cubic root of 3414819408 is about 1505.8761222882.

The spelling of 3414819408 in words is "three billion, four hundred fourteen million, eight hundred nineteen thousand, four hundred eight".