3408224960 has 112 divisors (see below), whose sum is σ = 9318199296. Its totient is φ = 1163123712.

The previous prime is 3408224947. The next prime is 3408225043. The reversal of 3408224960 is 694228043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 496109 + ... + 502931.

It is an arithmetic number, because the mean of its divisors is an integer number (83198208).

Almost surely, 2^3408224960 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 3408224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659099648).

3408224960 is an abundant number, since it is smaller than the sum of its proper divisors (5909974336).

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

3408224960 is a wasteful number, since it uses less digits than its factorization.

3408224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7070 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 3408224960 is about 58380.0047961629. The cubic root of 3408224960 is about 1504.9061519167.

The spelling of 3408224960 in words is "three billion, four hundred eight million, two hundred twenty-four thousand, nine hundred sixty".