3667984320 has 672 divisors, whose sum is σ = 15800246784. Its totient is φ = 701521920.

The previous prime is 3667984319. The next prime is 3667984339. The reversal of 3667984320 is 234897663.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3667984320.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 10570387 + ... + 10570733.

It is an arithmetic number, because the mean of its divisors is an integer number (23512272).

Almost surely, 2^3667984320 is an apocalyptic number.

3667984320 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 3667984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900123392).

3667984320 is an abundant number, since it is smaller than the sum of its proper divisors (12132262464).

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

3667984320 is a wasteful number, since it uses less digits than its factorization.

3667984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 3667984320 is about 60563.8862689639. The cubic root of 3667984320 is about 1542.2063612415.

The spelling of 3667984320 in words is "three billion, six hundred sixty-seven million, nine hundred eighty-four thousand, three hundred twenty".