38880346761 has 63 divisors (see below), whose sum is σ = 59724784791. Its totient is φ = 25299111024.

The previous prime is 38880346759. The next prime is 38880346783. The reversal of 38880346761 is 16764308883.

The square root of 38880346761 is 197181.

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., 27099415161 + 11780931600 = 164619^2 + 108540^2 .

It is not a de Polignac number, because 38880346761 - 2¹ = 38880346759 is a prime.

It is a super-2 number, since 2×38880346761² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38880346698 and 38880346707.

It is not an unprimeable number, because it can be changed into a prime (38880346861) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 356700375 + ... + 356700483.

It is an arithmetic number, because the mean of its divisors is an integer number (948012457).

Almost surely, 2^38880346761 is an apocalyptic number.

38880346761 is the 197181-st square number.

38880346761 is the 98591-st centered octagonal number.

It is an amenable number.

38880346761 is a deficient number, since it is larger than the sum of its proper divisors (20844438030).

38880346761 is an frugal number, since it uses more digits than its factorization.

38880346761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

It can be divided in two parts, 38880 and 346761, that added together give a square (385641 = 621²).

The spelling of 38880346761 in words is "thirty-eight billion, eight hundred eighty million, three hundred forty-six thousand, seven hundred sixty-one".