37878890625 has 105 divisors (see below), whose sum is σ = 71140944853. Its totient is φ = 20085300000.

The previous prime is 37878890611. The next prime is 37878890639. The reversal of 37878890625 is 52609887873.

The square root of 37878890625 is 194625.

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

It is an interprime number because it is at equal distance from previous prime (37878890611) and next prime (37878890639).

It can be written as a sum of positive squares in 10 ways, for example, as 37766869569 + 112021056 = 194337^2 + 10584^2 .

It is not a de Polignac number, because 37878890625 - 2¹⁵ = 37878857857 is a prime.

It is a Duffinian number.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 218953039 + ... + 218953211.

Almost surely, 2^37878890625 is an apocalyptic number.

37878890625 is the 194625-th square number.

37878890625 is the 97313-rd centered octagonal number.

It is an amenable number.

37878890625 is a deficient number, since it is larger than the sum of its proper divisors (33262054228).

37878890625 is an frugal number, since it uses more digits than its factorization.

37878890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 37878890625 in words is "thirty-seven billion, eight hundred seventy-eight million, eight hundred ninety thousand, six hundred twenty-five".