3953774328100 has 27 divisors (see below), whose sum is σ = 8579733440691. Its totient is φ = 1581501777600.

The previous prime is 3953774328089. The next prime is 3953774328103. The reversal of 3953774328100 is 18234773593.

The square root of 3953774328100 is 1988410.

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 372263497956 + 3581510830144 = 610134^2 + 1892488^2 .

It is a super-2 number, since 2×3953774328100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3953774328103) by changing a digit.

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, 19784680 + ... + 19983520.

Almost surely, 2^{3953774328100} is an apocalyptic number.

3953774328100 is the 1988410-th square number.

It is an amenable number.

3953774328100 is an abundant number, since it is smaller than the sum of its proper divisors (4625959112591).

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

3953774328100 is an frugal number, since it uses more digits than its factorization.

3953774328100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397696 (or 198848 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 3953774328100 in words is "three trillion, nine hundred fifty-three billion, seven hundred seventy-four million, three hundred twenty-eight thousand, one hundred".