3664997280 has 480 divisors, whose sum is σ = 15016700160. Its totient is φ = 824463360.

The previous prime is 3664997279. The next prime is 3664997299. The reversal of 3664997280 is 827994663.

It is a happy number.

3664997280 is a `hidden beast` number, since 3 + 6 + 6 + 499 + 72 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 6440836 + ... + 6441404.

It is an arithmetic number, because the mean of its divisors is an integer number (31284792).

Almost surely, 2^3664997280 is an apocalyptic number.

3664997280 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 3664997280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7508350080).

3664997280 is an abundant number, since it is smaller than the sum of its proper divisors (11351702880).

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

3664997280 is a wasteful number, since it uses less digits than its factorization.

3664997280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3664997280 is about 60539.2210058901. The cubic root of 3664997280 is about 1541.7876132562.

The spelling of 3664997280 in words is "three billion, six hundred sixty-four million, nine hundred ninety-seven thousand, two hundred eighty".