3625445200 has 60 divisors (see below), whose sum is σ = 9380155708. Its totient is φ = 1338624000.

The previous prime is 3625445137. The next prime is 3625445207. The reversal of 3625445200 is 25445263.

3625445200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 41267776 + 3584177424 = 6424^2 + 59868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3625445207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343401 + ... + 353800.

Almost surely, 2^3625445200 is an apocalyptic number.

It is an amenable number.

3625445200 is an abundant number, since it is smaller than the sum of its proper divisors (5754710508).

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

3625445200 is a wasteful number, since it uses less digits than its factorization.

3625445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697232 (or 697221 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 3625445200 is about 60211.6699652152. The cubic root of 3625445200 is about 1536.2212974158.

The spelling of 3625445200 in words is "three billion, six hundred twenty-five million, four hundred forty-five thousand, two hundred".