3753668481152 has 72 divisors (see below), whose sum is σ = 7893181444365. Its totient is φ = 1777856214528.

The previous prime is 3753668481139. The next prime is 3753668481169. The reversal of 3753668481152 is 2511848663573.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3748188928576 + 5479552576 = 1936024^2 + 74024^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1369976.

It is a junction number, because it is equal to n+sod(n) for n = 3753668481091 and 3753668481100.

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 8 ways as a sum of consecutive naturals, for example, 416468198 + ... + 416477210.

Almost surely, 2^{3753668481152} is an apocalyptic number.

3753668481152 is a gapful number since it is divisible by the number (32) 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 3753668481152

3753668481152 is an abundant number, since it is smaller than the sum of its proper divisors (4139512963213).

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

3753668481152 is an frugal number, since it uses more digits than its factorization.

3753668481152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18078 (or 9034 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 59.

The spelling of 3753668481152 in words is "three trillion, seven hundred fifty-three billion, six hundred sixty-eight million, four hundred eighty-one thousand, one hundred fifty-two".