3821754816 has 168 divisors, whose sum is σ = 11981584368. Its totient is φ = 1155072000.

The previous prime is 3821754809. The next prime is 3821754841. The reversal of 3821754816 is 6184571283.

3821754816 is a `hidden beast` number, since 3 + 82 + 17 + 548 + 16 = 666.

3821754816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4060906 + ... + 4061846.

Almost surely, 2^3821754816 is an apocalyptic number.

3821754816 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 3821754816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990792184).

3821754816 is an abundant number, since it is smaller than the sum of its proper divisors (8159829552).

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

3821754816 is a wasteful number, since it uses less digits than its factorization.

3821754816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1598 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 3821754816 is about 61820.3430595463. The cubic root of 3821754816 is about 1563.4629972432.

The spelling of 3821754816 in words is "three billion, eight hundred twenty-one million, seven hundred fifty-four thousand, eight hundred sixteen".