3820559616 has 144 divisors (see below), whose sum is σ = 11604196800. Its totient is φ = 1239017472.

The previous prime is 3820559563. The next prime is 3820559627. The reversal of 3820559616 is 6169550283.

3820559616 is a `hidden beast` number, since 3 + 8 + 20 + 5 + 5 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248275 + ... + 263213.

It is an arithmetic number, because the mean of its divisors is an integer number (80584700).

Almost surely, 2^3820559616 is an apocalyptic number.

3820559616 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 3820559616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802098400).

3820559616 is an abundant number, since it is smaller than the sum of its proper divisors (7783637184).

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

3820559616 is a wasteful number, since it uses less digits than its factorization.

3820559616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15001 (or 14981 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3820559616 is about 61810.6755827826. The cubic root of 3820559616 is about 1563.2999965715.

The spelling of 3820559616 in words is "three billion, eight hundred twenty million, five hundred fifty-nine thousand, six hundred sixteen".