3993154930944 has 135 divisors (see below), whose sum is σ = 11907723567817. Its totient is φ = 1330955725824.

The previous prime is 3993154930937. The next prime is 3993154931023. The reversal of 3993154930944 is 4490394513993.

The square root of 3993154930944 is 1998288.

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

3993154930944 is a `hidden beast` number, since 3 + 9 + 9 + 315 + 4 + 9 + 309 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 298640390400 + 3694514540544 = 546480^2 + 1922112^2 .

It is a super-2 number, since 2×3993154930944² (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 (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 287746534 + ... + 287760410.

Almost surely, 2^{3993154930944} is an apocalyptic number.

3993154930944 is the 1998288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3993154930944

3993154930944 is an abundant number, since it is smaller than the sum of its proper divisors (7914568636873).

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

3993154930944 is an frugal number, since it uses more digits than its factorization.

3993154930944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27782 (or 13882 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 3993154930944 in words is "three trillion, nine hundred ninety-three billion, one hundred fifty-four million, nine hundred thirty thousand, nine hundred forty-four".