3755127382272 has 1008 divisors, whose sum is σ = 13666208855040. Its totient is φ = 1004819447808.

The previous prime is 3755127382267. The next prime is 3755127382291. The reversal of 3755127382272 is 2722837215573.

3755127382272 is a `hidden beast` number, since 3 + 7 + 5 + 512 + 7 + 38 + 22 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7839514129 + ... + 7839514607.

It is an arithmetic number, because the mean of its divisors is an integer number (13557746880).

Almost surely, 2^{3755127382272} is an apocalyptic number.

3755127382272 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 3755127382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833104427520).

3755127382272 is an abundant number, since it is smaller than the sum of its proper divisors (9911081472768).

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

3755127382272 is an equidigital number, since it uses as much as digits as its factorization.

3755127382272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 861 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 54.

The spelling of 3755127382272 in words is "three trillion, seven hundred fifty-five billion, one hundred twenty-seven million, three hundred eighty-two thousand, two hundred seventy-two".