3822111360 has 320 divisors, whose sum is σ = 14455690920. Its totient is φ = 959053824.

The previous prime is 3822111341. The next prime is 3822111379. The reversal of 3822111360 is 631112283.

It is a happy number.

3822111360 is a `hidden beast` number, since 382 + 211 + 13 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3822111341) and next prime (3822111379).

It can be written as a sum of positive squares in 4 ways, for example, as 2404137024 + 1417974336 = 49032^2 + 37656^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 879112 + ... + 883448.

Almost surely, 2^3822111360 is an apocalyptic number.

3822111360 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 3822111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227845460).

3822111360 is an abundant number, since it is smaller than the sum of its proper divisors (10633579560).

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

3822111360 is a wasteful number, since it uses less digits than its factorization.

3822111360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3822111360 is about 61823.2267032383. The cubic root of 3822111360 is about 1563.5116159226.

The spelling of 3822111360 in words is "three billion, eight hundred twenty-two million, one hundred eleven thousand, three hundred sixty".