3648268800 has 360 divisors, whose sum is σ = 14248016640. Its totient is φ = 884121600.

The previous prime is 3648268739. The next prime is 3648268849. The reversal of 3648268800 is 88628463.

It is a happy number.

3648268800 is a `hidden beast` number, since 36 + 482 + 68 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1265761 + ... + 1268639.

It is an arithmetic number, because the mean of its divisors is an integer number (39577824).

Almost surely, 2^3648268800 is an apocalyptic number.

3648268800 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 3648268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124008320).

3648268800 is an abundant number, since it is smaller than the sum of its proper divisors (10599747840).

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

3648268800 is a wasteful number, since it uses less digits than its factorization.

3648268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3648268800 is about 60400.9006555366. The cubic root of 3648268800 is about 1539.4382614178.

The spelling of 3648268800 in words is "three billion, six hundred forty-eight million, two hundred sixty-eight thousand, eight hundred".