6349442436100 has 81 divisors (see below), whose sum is σ = 14271429230877. Its totient is φ = 2451916239360.

The previous prime is 6349442436067. The next prime is 6349442436109. The reversal of 6349442436100 is 16342449436.

The square root of 6349442436100 is 2519810.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1155637900036 + 5193804536064 = 1075006^2 + 2278992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6349442436109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 730740556 + ... + 730749244.

Almost surely, 2^{6349442436100} is an apocalyptic number.

6349442436100 is the 2519810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6349442436100

6349442436100 is an abundant number, since it is smaller than the sum of its proper divisors (7921986794777).

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

6349442436100 is an frugal number, since it uses more digits than its factorization.

6349442436100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17450 (or 8725 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 46.

The spelling of 6349442436100 in words is "six trillion, three hundred forty-nine billion, four hundred forty-two million, four hundred thirty-six thousand, one hundred".