3736276373025 has 243 divisors, whose sum is σ = 7996983196683. Its totient is φ = 1662641971200.

The previous prime is 3736276372999. The next prime is 3736276373029. The reversal of 3736276373025 is 5203736726373.

The square root of 3736276373025 is 1932945.

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

3736276373025 is a `hidden beast` number, since 3 + 7 + 3 + 627 + 6 + 3 + 7 + 3 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3600973050129 + 135303322896 = 1897623^2 + 367836^2 .

It is not a de Polignac number, because 3736276373025 - 2⁵ = 3736276372993 is a prime.

It is a super-2 number, since 2×3736276373025² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3736276373029) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 8321328001 + ... + 8321328449.

Almost surely, 2^{3736276373025} is an apocalyptic number.

3736276373025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3736276373025 is the 1932945-th square number.

3736276373025 is the 966473-rd centered octagonal number.

It is an amenable number.

3736276373025 is an abundant number, since it is smaller than the sum of its proper divisors (4260706823658).

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

3736276373025 is an equidigital number, since it uses as much as digits as its factorization.

3736276373025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 54.

The spelling of 3736276373025 in words is "three trillion, seven hundred thirty-six billion, two hundred seventy-six million, three hundred seventy-three thousand, twenty-five".