3822577920 has 720 divisors, whose sum is σ = 16382741760. Its totient is φ = 832094208.

The previous prime is 3822577901. The next prime is 3822577931. The reversal of 3822577920 is 297752283.

3822577920 is a `hidden beast` number, since 38 + 22 + 577 + 9 + 20 = 666.

3822577920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3822577920² = 29224203908943052800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16692366 + ... + 16692594.

It is an arithmetic number, because the mean of its divisors is an integer number (22753808).

Almost surely, 2^3822577920 is an apocalyptic number.

3822577920 is a gapful number since it is divisible by the number (30) 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 3822577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8191370880).

3822577920 is an abundant number, since it is smaller than the sum of its proper divisors (12560163840).

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

3822577920 is a wasteful number, since it uses less digits than its factorization.

3822577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3822577920 is about 61826.9999272163. Note that the first 4 decimals coincide. The cubic root of 3822577920 is about 1563.5752319218.

The spelling of 3822577920 in words is "three billion, eight hundred twenty-two million, five hundred seventy-seven thousand, nine hundred twenty".