3821695416 has 576 divisors, whose sum is σ = 14212972800. Its totient is φ = 914457600.

The previous prime is 3821695363. The next prime is 3821695439. The reversal of 3821695416 is 6145961283.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52351956 + ... + 52352028.

It is an arithmetic number, because the mean of its divisors is an integer number (24675300).

Almost surely, 2^3821695416 is an apocalyptic number.

3821695416 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 3821695416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7106486400).

3821695416 is an abundant number, since it is smaller than the sum of its proper divisors (10391277384).

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

3821695416 is a wasteful number, since it uses less digits than its factorization.

3821695416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 3821695416 is about 61819.8626332993. The cubic root of 3821695416 is about 1563.4548971088.

The spelling of 3821695416 in words is "three billion, eight hundred twenty-one million, six hundred ninety-five thousand, four hundred sixteen".