3667925760 has 288 divisors, whose sum is σ = 12079549440. Its totient is φ = 948240384.

The previous prime is 3667925743. The next prime is 3667925777. The reversal of 3667925760 is 675297663.

It is an interprime number because it is at equal distance from previous prime (3667925743) and next prime (3667925777).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32459464 + ... + 32459576.

It is an arithmetic number, because the mean of its divisors is an integer number (41942880).

Almost surely, 2^3667925760 is an apocalyptic number.

3667925760 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 3667925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039774720).

3667925760 is an abundant number, since it is smaller than the sum of its proper divisors (8411623680).

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

3667925760 is a wasteful number, since it uses less digits than its factorization.

3667925760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 51.

The square root of 3667925760 is about 60563.4028106083. The cubic root of 3667925760 is about 1542.1981540013.

The spelling of 3667925760 in words is "three billion, six hundred sixty-seven million, nine hundred twenty-five thousand, seven hundred sixty".