3005750364100 has 81 divisors (see below), whose sum is σ = 7169790548263. Its totient is φ = 1092930784000.

The previous prime is 3005750364083. The next prime is 3005750364101. The reversal of 3005750364100 is 14630575003.

The square root of 3005750364100 is 1733710.

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 76282756 + 3005674081344 = 8734^2 + 1733688^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3005750364101) 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, 190700220 + ... + 190715980.

Almost surely, 2^{3005750364100} is an apocalyptic number.

3005750364100 is the 1733710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005750364100

3005750364100 is an abundant number, since it is smaller than the sum of its proper divisors (4164040184163).

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

3005750364100 is an equidigital number, since it uses as much as digits as its factorization.

3005750364100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31558 (or 15779 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The spelling of 3005750364100 in words is "three trillion, five billion, seven hundred fifty million, three hundred sixty-four thousand, one hundred".