3667288320 has 216 divisors, whose sum is σ = 12734631000. Its totient is φ = 974389248.

The previous prime is 3667288319. The next prime is 3667288321. The reversal of 3667288320 is 238827663.

3667288320 is a `hidden beast` number, since 366 + 7 + 288 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3667288319) and next prime (3667288321).

It can be written as a sum of positive squares in 4 ways, for example, as 107495424 + 3559792896 = 10368^2 + 59664^2 .

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3667288321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5172126 + ... + 5172834.

It is an arithmetic number, because the mean of its divisors is an integer number (58956625).

Almost surely, 2^3667288320 is an apocalyptic number.

3667288320 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 3667288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367315500).

3667288320 is an abundant number, since it is smaller than the sum of its proper divisors (9067342680).

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

3667288320 is a wasteful number, since it uses less digits than its factorization.

3667288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3667288320 is about 60558.1399978566. The cubic root of 3667288320 is about 1542.1088105223.

The spelling of 3667288320 in words is "three billion, six hundred sixty-seven million, two hundred eighty-eight thousand, three hundred twenty".