3753216000 has 480 divisors, whose sum is σ = 14068094040. Its totient is φ = 995328000.

The previous prime is 3753215993. The next prime is 3753216001. The reversal of 3753216000 is 6123573.

It is a happy number.

3753216000 is a `hidden beast` number, since 3 + 7 + 53 + 2 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199148544 + 3554067456 = 14112^2 + 59616^2 .

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 (27).

It is not an unprimeable number, because it can be changed into a prime (3753216001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20735910 + ... + 20736090.

Almost surely, 2^3753216000 is an apocalyptic number.

3753216000 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 3753216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034047020).

3753216000 is an abundant number, since it is smaller than the sum of its proper divisors (10314878040).

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

3753216000 is an equidigital number, since it uses as much as digits as its factorization.

3753216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3753216000 is about 61263.4964722060. The cubic root of 3753216000 is about 1554.0602531758.

Adding to 3753216000 its reverse (6123573), we get a palindrome (3759339573).

The spelling of 3753216000 in words is "three billion, seven hundred fifty-three million, two hundred sixteen thousand".