3408297984 has 384 divisors, whose sum is σ = 12213626880. Its totient is φ = 891813888.

The previous prime is 3408297983. The next prime is 3408298037. The reversal of 3408297984 is 4897928043.

3408297984 is a `hidden beast` number, since 340 + 8 + 297 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 3408297984.

It is not an unprimeable number, because it can be changed into a prime (3408297983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26836929 + ... + 26837055.

It is an arithmetic number, because the mean of its divisors is an integer number (31806320).

Almost surely, 2^3408297984 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 3408297984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106813440).

3408297984 is an abundant number, since it is smaller than the sum of its proper divisors (8805328896).

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

3408297984 is a wasteful number, since it uses less digits than its factorization.

3408297984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3408297984 is about 58380.6302124258. The cubic root of 3408297984 is about 1504.9168997872.

The spelling of 3408297984 in words is "three billion, four hundred eight million, two hundred ninety-seven thousand, nine hundred eighty-four".