3687525625 has 45 divisors (see below), whose sum is σ = 5375739369. Its totient is φ = 2521302000.

The previous prime is 3687525619. The next prime is 3687525637. The reversal of 3687525625 is 5265257863.

The square root of 3687525625 is 60725.

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

It can be written as a sum of positive squares in 2 ways, for example, as 289102009 + 3398423616 = 17003^2 + 58296^2 .

It is not a de Polignac number, because 3687525625 - 2³ = 3687525617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10626702 + ... + 10627048.

Almost surely, 2^3687525625 is an apocalyptic number.

3687525625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3687525625 is the 60725-th square number.

3687525625 is the 30363-rd centered octagonal number.

It is an amenable number.

3687525625 is a deficient number, since it is larger than the sum of its proper divisors (1688213744).

3687525625 is an frugal number, since it uses more digits than its factorization.

3687525625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 359 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 49.

The cubic root of 3687525625 is about 1544.9402301249.

Multiplying 3687525625 by its sum of digits (49), we get a square (180688755625 = 425075²).

3687525625 divided by its sum of digits (49) gives a square (75255625 = 8675²).

It can be divided in two parts, 36875 and 25625, that added together give a square (62500 = 250²).

The spelling of 3687525625 in words is "three billion, six hundred eighty-seven million, five hundred twenty-five thousand, six hundred twenty-five".