3752262144 has 180 divisors, whose sum is σ = 11255289474. Its totient is φ = 1249634304.

The previous prime is 3752262071. The next prime is 3752262181. The reversal of 3752262144 is 4412622573.

3752262144 is a `hidden beast` number, since 3 + 7 + 5 + 22 + 621 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3710271744 + 41990400 = 60912^2 + 6480^2 .

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 3752262099 and 3752262108.

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 17 ways as a sum of consecutive naturals, for example, 3358674 + ... + 3359790.

Almost surely, 2^3752262144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3752262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627644737).

3752262144 is an abundant number, since it is smaller than the sum of its proper divisors (7503027330).

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

3752262144 is an frugal number, since it uses more digits than its factorization.

3752262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1122 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 3752262144 is about 61255.7111133321. The cubic root of 3752262144 is about 1553.9285905082.

The spelling of 3752262144 in words is "three billion, seven hundred fifty-two million, two hundred sixty-two thousand, one hundred forty-four".