3822059520 has 294 divisors, whose sum is σ = 13753116258. Its totient is φ = 1019215872.

The previous prime is 3822059519. The next prime is 3822059587. The reversal of 3822059520 is 259502283.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)⁴ ⋅ (2!)⁴.

3822059520 is a `hidden beast` number, since 3 + 82 + 2 + 0 + 59 + 520 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3057647616 + 764411904 = 55296^2 + 27648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 764411902 + ... + 764411906.

It is an arithmetic number, because the mean of its divisors is an integer number (46779307).

Almost surely, 2^3822059520 is an apocalyptic number.

3822059520 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 3822059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876558129).

3822059520 is an abundant number, since it is smaller than the sum of its proper divisors (9931056738).

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

3822059520 is an frugal number, since it uses more digits than its factorization.

3822059520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3822059520 is about 61822.8074419142. The cubic root of 3822059520 is about 1563.5045471587.

The spelling of 3822059520 in words is "three billion, eight hundred twenty-two million, fifty-nine thousand, five hundred twenty".