3756340144384 has 81 divisors (see below), whose sum is σ = 7767334187067. Its totient is φ = 1812971446272.

The previous prime is 3756340144367. The next prime is 3756340144433. The reversal of 3756340144384 is 4834410436573.

The square root of 3756340144384 is 1938128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 961184160000 + 2795155984384 = 980400^2 + 1671872^2 .

It is a super-2 number, since 2×3756340144384² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 899289304 + ... + 899293480.

Almost surely, 2^{3756340144384} is an apocalyptic number.

3756340144384 is the 1938128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3756340144384

3756340144384 is an abundant number, since it is smaller than the sum of its proper divisors (4010994042683).

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

3756340144384 is an frugal number, since it uses more digits than its factorization.

3756340144384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8428 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 52.

The spelling of 3756340144384 in words is "three trillion, seven hundred fifty-six billion, three hundred forty million, one hundred forty-four thousand, three hundred eighty-four".