3083641360900 has 81 divisors (see below), whose sum is σ = 6860291529343. Its totient is φ = 1203091273600.

The previous prime is 3083641360843. The next prime is 3083641360903. The reversal of 3083641360900 is 90631463803.

The square root of 3083641360900 is 1756030.

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 1297954361284 + 1785686999616 = 1139278^2 + 1336296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3083641360903) 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, 719970159 + ... + 719974441.

Almost surely, 2^{3083641360900} is an apocalyptic number.

3083641360900 is the 1756030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3083641360900

3083641360900 is an abundant number, since it is smaller than the sum of its proper divisors (3776650168443).

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

3083641360900 is an frugal number, since it uses more digits than its factorization.

3083641360900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8662 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

It can be divided in two parts, 308364 and 1360900, that added together give a square (1669264 = 1292²).

The spelling of 3083641360900 in words is "three trillion, eighty-three billion, six hundred forty-one million, three hundred sixty thousand, nine hundred".