3818721764025 has 243 divisors, whose sum is σ = 8193590102061. Its totient is φ = 1695143479680.

The previous prime is 3818721763957. The next prime is 3818721764047. The reversal of 3818721764025 is 5204671278183.

The square root of 3818721764025 is 1954155.

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

3818721764025 is a `hidden beast` number, since 3 + 8 + 18 + 7 + 217 + 6 + 402 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 362513572281 + 3456208191744 = 602091^2 + 1859088^2 .

It is not a de Polignac number, because 3818721764025 - 2¹³ = 3818721755833 is a prime.

It is a super-2 number, since 2×3818721764025² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 7591891924 + ... + 7591892426.

Almost surely, 2^{3818721764025} is an apocalyptic number.

3818721764025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3818721764025 is the 1954155-th square number.

3818721764025 is the 977078-th centered octagonal number.

It is an amenable number.

3818721764025 is an abundant number, since it is smaller than the sum of its proper divisors (4374868338036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3818721764025 is an equidigital number, since it uses as much as digits as its factorization.

3818721764025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 3818721764025 in words is "three trillion, eight hundred eighteen billion, seven hundred twenty-one million, seven hundred sixty-four thousand, twenty-five".