3722618880 has 288 divisors, whose sum is σ = 13328340480. Its totient is φ = 959938560.

The previous prime is 3722618827. The next prime is 3722618881. The reversal of 3722618880 is 888162273.

3722618880 is a `hidden beast` number, since 3 + 7 + 22 + 618 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (3722618881) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2856309 + ... + 2857611.

It is an arithmetic number, because the mean of its divisors is an integer number (46278960).

Almost surely, 2^3722618880 is an apocalyptic number.

3722618880 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 3722618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664170240).

3722618880 is an abundant number, since it is smaller than the sum of its proper divisors (9605721600).

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

3722618880 is a wasteful number, since it uses less digits than its factorization.

3722618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3722618880 is about 61013.2680652332. The cubic root of 3722618880 is about 1549.8257008307.

The spelling of 3722618880 in words is "three billion, seven hundred twenty-two million, six hundred eighteen thousand, eight hundred eighty".