3722667408 has 60 divisors (see below), whose sum is σ = 10513923420. Its totient is φ = 1229499648.

The previous prime is 3722667407. The next prime is 3722667409. The reversal of 3722667408 is 8047662273.

It is an interprime number because it is at equal distance from previous prime (3722667407) and next prime (3722667409).

It can be written as a sum of positive squares in 2 ways, for example, as 3406823424 + 315843984 = 58368^2 + 17772^2 .

It is not an unprimeable number, because it can be changed into a prime (3722667401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102891 + ... + 134282.

It is an arithmetic number, because the mean of its divisors is an integer number (175232057).

Almost surely, 2^3722667408 is an apocalyptic number.

It is an amenable number.

3722667408 is an abundant number, since it is smaller than the sum of its proper divisors (6791256012).

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

3722667408 is a wasteful number, since it uses less digits than its factorization.

3722667408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237296 (or 237287 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3722667408 is about 61013.6657479290. The cubic root of 3722667408 is about 1549.8324353024.

The spelling of 3722667408 in words is "three billion, seven hundred twenty-two million, six hundred sixty-seven thousand, four hundred eight".