3664207680 has 224 divisors, whose sum is σ = 13656112896. Its totient is φ = 814841856.

The previous prime is 3664207669. The next prime is 3664207691. The reversal of 3664207680 is 867024663.

It is an interprime number because it is at equal distance from previous prime (3664207669) and next prime (3664207691).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 241272 + ... + 256008.

Almost surely, 2^3664207680 is an apocalyptic number.

3664207680 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 3664207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6828056448).

3664207680 is an abundant number, since it is smaller than the sum of its proper divisors (9991905216).

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

3664207680 is a wasteful number, since it uses less digits than its factorization.

3664207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14801 (or 14791 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3664207680 is about 60532.6992624647. The cubic root of 3664207680 is about 1541.6768825749.

The spelling of 3664207680 in words is "three billion, six hundred sixty-four million, two hundred seven thousand, six hundred eighty".