3664281600 has 576 divisors, whose sum is σ = 15212508480. Its totient is φ = 825753600.

The previous prime is 3664281587. The next prime is 3664281601. The reversal of 3664281600 is 61824663.

3664281600 is a `hidden beast` number, since 3 + 6 + 6 + 42 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3664281601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51609565 + ... + 51609635.

It is an arithmetic number, because the mean of its divisors is an integer number (26410605).

Almost surely, 2^3664281600 is an apocalyptic number.

3664281600 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 3664281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7606254240).

3664281600 is an abundant number, since it is smaller than the sum of its proper divisors (11548226880).

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

3664281600 is an equidigital number, since it uses as much as digits as its factorization.

3664281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3664281600 is about 60533.3098384683. The cubic root of 3664281600 is about 1541.6872495263.

The spelling of 3664281600 in words is "three billion, six hundred sixty-four million, two hundred eighty-one thousand, six hundred".