3814697265625 has 19 divisors (see below), whose sum is σ = 4768371582031. Its totient is φ = 3051757812500.

The previous prime is 3814697265523. The next prime is 3814697265637. The reversal of 3814697265625 is 5265627964183.

It is a happy number.

The square root of 3814697265625 is 1953125.

The cubic root of 3814697265625 is 15625.

It is a perfect power (a square, a cube, a 6-th power, a 9-th power, a 18-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 9 ways, for example, as 850225993929 + 2964471271696 = 922077^2 + 1721764^2 .

It is not a de Polignac number, because 3814697265625 - 2⁷ = 3814697265497 is a prime.

It is a Duffinian number.

Its product of digits (130636800) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 18 ways as a sum of consecutive naturals, for example, 762939453123 + ... + 762939453127.

Almost surely, 2^{3814697265625} is an apocalyptic number.

3814697265625 is the 1953125-th square number.

3814697265625 is the 976563-rd centered octagonal number.

It is an amenable number.

3814697265625 is a deficient number, since it is larger than the sum of its proper divisors (953674316406).

3814697265625 is an frugal number, since it uses more digits than its factorization.

3814697265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 5 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 64.

Multiplying 3814697265625 by its sum of digits (64), we get a 6-th power (244140625000000 = 250⁶).

The spelling of 3814697265625 in words is "three trillion, eight hundred fourteen billion, six hundred ninety-seven million, two hundred sixty-five thousand, six hundred twenty-five".