37908479401 has 27 divisors (see below), whose sum is σ = 43655052783. Its totient is φ = 32896680960.

The previous prime is 37908479393. The next prime is 37908479417. The reversal of 37908479401 is 10497480973.

The square root of 37908479401 is 194701.

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

It can be written as a sum of positive squares in 13 ways, for example, as 33763695001 + 4144784400 = 183749^2 + 64380^2 .

It is not a de Polignac number, because 37908479401 - 2³ = 37908479393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37908479491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43028481 + ... + 43029361.

Almost surely, 2^37908479401 is an apocalyptic number.

37908479401 is the 194701-st square number.

37908479401 is the 97351-st centered octagonal number.

It is an amenable number.

37908479401 is a deficient number, since it is larger than the sum of its proper divisors (5746573382).

37908479401 is an frugal number, since it uses more digits than its factorization.

37908479401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 37908479401 in words is "thirty-seven billion, nine hundred eight million, four hundred seventy-nine thousand, four hundred one".