3844383704100 has 81 divisors (see below), whose sum is σ = 12050191518547. Its totient is φ = 1025153302080.

The previous prime is 3844383704093. The next prime is 3844383704131. The reversal of 3844383704100 is 14073834483.

The square root of 3844383704100 is 1960710.

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

3844383704100 is a `hidden beast` number, since 3 + 84 + 438 + 37 + 0 + 4 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 628186226724 + 3216197477376 = 792582^2 + 1793376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 26 ways as a sum of consecutive naturals, for example, 58788622 + ... + 58853978.

Almost surely, 2^{3844383704100} is an apocalyptic number.

3844383704100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3844383704100 is the 1960710-th square number.

It is an amenable number.

3844383704100 is an abundant number, since it is smaller than the sum of its proper divisors (8205807814447).

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

3844383704100 is an frugal number, since it uses more digits than its factorization.

3844383704100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130734 (or 65367 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3844383704100 in words is "three trillion, eight hundred forty-four billion, three hundred eighty-three million, seven hundred four thousand, one hundred".