3078028133761 has 27 divisors (see below), whose sum is σ = 3670624634313. Its totient is φ = 2573539745280.

The previous prime is 3078028133759. The next prime is 3078028133773. The reversal of 3078028133761 is 1673318208703.

The square root of 3078028133761 is 1754431.

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 736687473025 + 2341340660736 = 858305^2 + 1530144^2 .

It is not a de Polignac number, because 3078028133761 - 2¹ = 3078028133759 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (3078028133711) 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, 503518641 + ... + 503524753.

Almost surely, 2^{3078028133761} is an apocalyptic number.

3078028133761 is the 1754431-st square number.

3078028133761 is the 877216-th centered octagonal number.

It is an amenable number.

3078028133761 is a deficient number, since it is larger than the sum of its proper divisors (592596500552).

3078028133761 is an frugal number, since it uses more digits than its factorization.

3078028133761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12322 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

Multiplying 3078028133761 by its sum of digits (49), we get a square (150823378554289 = 12281017²).

3078028133761 divided by its sum of digits (49) gives a square (62816900689 = 250633²).

The spelling of 3078028133761 in words is "three trillion, seventy-eight billion, twenty-eight million, one hundred thirty-three thousand, seven hundred sixty-one".