3027460801600 has 63 divisors (see below), whose sum is σ = 7449616994437. Its totient is φ = 1210956481280.

The previous prime is 3027460801597. The next prime is 3027460801627. The reversal of 3027460801600 is 61080647203.

The square root of 3027460801600 is 1739960.

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

It can be written as a sum of positive squares in only one way, i.e., 1089885888576 + 1937574913024 = 1043976^2 + 1391968^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3027460801600.

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, 69576651 + ... + 69620149.

Almost surely, 2^{3027460801600} is an apocalyptic number.

3027460801600 is the 1739960-th square number.

It is an amenable number.

3027460801600 is an abundant number, since it is smaller than the sum of its proper divisors (4422156192837).

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

3027460801600 is an frugal number, since it uses more digits than its factorization.

3027460801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87020 (or 43506 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 3027460801600 in words is "three trillion, twenty-seven billion, four hundred sixty million, eight hundred one thousand, six hundred".