3661728525 has 240 divisors, whose sum is σ = 8630780928. Its totient is φ = 1492992000.

The previous prime is 3661728523. The next prime is 3661728541. The reversal of 3661728525 is 5258271663.

3661728525 is a `hidden beast` number, since 3 + 6 + 617 + 2 + 8 + 5 + 25 = 666.

It is not a de Polignac number, because 3661728525 - 2¹ = 3661728523 is a prime.

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

Its product of digits (604800) is a multiple of the sum of its prime divisors (700).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661728523) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5712205 + ... + 5712845.

Almost surely, 2^3661728525 is an apocalyptic number.

3661728525 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3661728525 is an abundant number, since it is smaller than the sum of its proper divisors (4969052403).

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

3661728525 is a wasteful number, since it uses less digits than its factorization.

3661728525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 3661728525 is about 60512.2179811648. The cubic root of 3661728525 is about 1541.3291113245.

The spelling of 3661728525 in words is "three billion, six hundred sixty-one million, seven hundred twenty-eight thousand, five hundred twenty-five".