3667582368 has 96 divisors (see below), whose sum is σ = 10728648000. Its totient is φ = 1218924288.

The previous prime is 3667582343. The next prime is 3667582393. The reversal of 3667582368 is 8632857663.

It is an interprime number because it is at equal distance from previous prime (3667582343) and next prime (3667582393).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 295455 + ... + 307617.

It is an arithmetic number, because the mean of its divisors is an integer number (111756750).

Almost surely, 2^3667582368 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 3667582368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364324000).

3667582368 is an abundant number, since it is smaller than the sum of its proper divisors (7061065632).

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

3667582368 is a wasteful number, since it uses less digits than its factorization.

3667582368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12531 (or 12517 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3667582368 is about 60560.5677648418. The cubic root of 3667582368 is about 1542.1500255248.

The spelling of 3667582368 in words is "three billion, six hundred sixty-seven million, five hundred eighty-two thousand, three hundred sixty-eight".