3627482114025 has 729 divisors, whose sum is σ = 8916890061807. Its totient is φ = 1404219801600.

The previous prime is 3627482113993. The next prime is 3627482114101. The reversal of 3627482114025 is 5204112847263.

The square root of 3627482114025 is 1904595.

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

3627482114025 is a `hidden beast` number, since 3 + 6 + 2 + 7 + 482 + 1 + 140 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1444546783449 + 2182935330576 = 1201893^2 + 1477476^2 .

It is not a de Polignac number, because 3627482114025 - 2⁵ = 3627482113993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 37396722777 + ... + 37396722873.

Almost surely, 2^{3627482114025} is an apocalyptic number.

3627482114025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3627482114025 is the 1904595-th square number.

3627482114025 is the 952298-th centered octagonal number.

It is an amenable number.

3627482114025 is an abundant number, since it is smaller than the sum of its proper divisors (5289407947782).

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

3627482114025 is a wasteful number, since it uses less digits than its factorization.

3627482114025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 3627482114025 in words is "three trillion, six hundred twenty-seven billion, four hundred eighty-two million, one hundred fourteen thousand, twenty-five".