3843599460100 has 27 divisors (see below), whose sum is σ = 8340653371701. Its totient is φ = 1537431942000.

The previous prime is 3843599460053. The next prime is 3843599460121. The reversal of 3843599460100 is 10649953483.

It is a happy number.

The square root of 3843599460100 is 1960510.

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

3843599460100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1383695805636 + 2459903654464 = 1176306^2 + 1568408^2 .

It is a super-2 number, since 2×3843599460100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19507075 + ... + 19703125.

Almost surely, 2^{3843599460100} is an apocalyptic number.

3843599460100 is the 1960510-th square number.

It is an amenable number.

3843599460100 is an abundant number, since it is smaller than the sum of its proper divisors (4497053911601).

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

3843599460100 is an frugal number, since it uses more digits than its factorization.

3843599460100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392116 (or 196058 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 3843599460100 in words is "three trillion, eight hundred forty-three billion, five hundred ninety-nine million, four hundred sixty thousand, one hundred".