38037451837401 has 81 divisors (see below), whose sum is σ = 56832777783327. Its totient is φ = 24514877630880.

The previous prime is 38037451837391. The next prime is 38037451837417. The reversal of 38037451837401 is 10473815473083.

The square root of 38037451837401 is 6167451.

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

38037451837401 is a `hidden beast` number, since 3 + 80 + 3 + 7 + 4 + 518 + 3 + 7 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27421089345225 + 10616362492176 = 5236515^2 + 3258276^2 .

It is not a de Polignac number, because 38037451837401 - 2²¹ = 38037449740249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38037451837601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 77469351766 + ... + 77469352256.

Almost surely, 2^{38037451837401} is an apocalyptic number.

38037451837401 is the 6167451-st square number.

38037451837401 is the 3083726-th centered octagonal number.

It is an amenable number.

38037451837401 is a deficient number, since it is larger than the sum of its proper divisors (18795325945926).

38037451837401 is an frugal number, since it uses more digits than its factorization.

38037451837401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 38037451837401 in words is "thirty-eight trillion, thirty-seven billion, four hundred fifty-one million, eight hundred thirty-seven thousand, four hundred one".