3425279616 has 192 divisors, whose sum is σ = 11113267200. Its totient is φ = 1037836800.

The previous prime is 3425279579. The next prime is 3425279653. The reversal of 3425279616 is 6169725243.

3425279616 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 27 + 9 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (3425279579) and next prime (3425279653).

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 414081 + ... + 422271.

It is an arithmetic number, because the mean of its divisors is an integer number (57881600).

Almost surely, 2^3425279616 is an apocalyptic number.

3425279616 is a gapful number since it is divisible by the number (36) 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 3425279616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556633600).

3425279616 is an abundant number, since it is smaller than the sum of its proper divisors (7687987584).

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

3425279616 is a wasteful number, since it uses less digits than its factorization.

3425279616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8236 (or 8207 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 3425279616 is about 58525.8884255506. Note that the first 3 decimals coincide. The cubic root of 3425279616 is about 1507.4121450743.

The spelling of 3425279616 in words is "three billion, four hundred twenty-five million, two hundred seventy-nine thousand, six hundred sixteen".