3670725600 has 360 divisors, whose sum is σ = 13757197608. Its totient is φ = 951782400.

The previous prime is 3670725581. The next prime is 3670725647. The reversal of 3670725600 is 65270763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2396835 + ... + 2398365.

Almost surely, 2^3670725600 is an apocalyptic number.

3670725600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3670725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878598804).

3670725600 is an abundant number, since it is smaller than the sum of its proper divisors (10086472008).

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

3670725600 is a wasteful number, since it uses less digits than its factorization.

3670725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 3670725600 is about 60586.5133507450. The cubic root of 3670725600 is about 1542.5904565508.

The spelling of 3670725600 in words is "three billion, six hundred seventy million, seven hundred twenty-five thousand, six hundred".