37852407209761 has 9 divisors (see below), whose sum is σ = 39569866616371. Its totient is φ = 36206515021072.

The previous prime is 37852407209759. The next prime is 37852407209803. The reversal of 37852407209761 is 16790270425873.

The square root of 37852407209761 is 6152431.

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., 28107121608225 + 9745285601536 = 5301615^2 + 3121744^2 .

It is not a de Polignac number, because 37852407209761 - 2¹ = 37852407209759 is a prime.

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 37852407209761.

It is not an unprimeable number, because it can be changed into a prime (37852407209741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 141372165 + ... + 141639661.

It is a 1-persistent number, because it is pandigital, but 2⋅37852407209761 = 75704814419522 is not.

Almost surely, 2^{37852407209761} is an apocalyptic number.

37852407209761 is the 6152431-st square number.

37852407209761 is the 3076216-th centered octagonal number.

It is an amenable number.

37852407209761 is a deficient number, since it is larger than the sum of its proper divisors (1717459406610).

37852407209761 is an frugal number, since it uses more digits than its factorization.

37852407209761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535040 (or 267520 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 61.

The spelling of 37852407209761 in words is "thirty-seven trillion, eight hundred fifty-two billion, four hundred seven million, two hundred nine thousand, seven hundred sixty-one".