3722667984 has 450 divisors, whose sum is σ = 13163241762. Its totient is φ = 1012435200.

The previous prime is 3722667979. The next prime is 3722667989. The reversal of 3722667984 is 4897662273.

3722667984 is a `hidden beast` number, since 372 + 266 + 7 + 9 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3722667979) and next prime (3722667989).

It can be written as a sum of positive squares in only one way, i.e., 2196984384 + 1525683600 = 46872^2 + 39060^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3722667984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3722667989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 61027314 + ... + 61027374.

Almost surely, 2^3722667984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3722667984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581620881).

3722667984 is an abundant number, since it is smaller than the sum of its proper divisors (9440573778).

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

3722667984 is a wasteful number, since it uses less digits than its factorization.

3722667984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 104 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 3722667984 is about 61013.6704681828. The cubic root of 3722667984 is about 1549.8325152365.

The spelling of 3722667984 in words is "three billion, seven hundred twenty-two million, six hundred sixty-seven thousand, nine hundred eighty-four".