3652380000 has 360 divisors, whose sum is σ = 13171446288. Its totient is φ = 959616000.

The previous prime is 3652379971. The next prime is 3652380023. The reversal of 3652380000 is 832563.

3652380000 is a `hidden beast` number, since 3 + 652 + 3 + 8 + 0 + 0 + 0 + 0 = 666.

3652380000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18539902 + ... + 18540098.

Almost surely, 2^3652380000 is an apocalyptic number.

3652380000 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 3652380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6585723144).

3652380000 is an abundant number, since it is smaller than the sum of its proper divisors (9519066288).

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

3652380000 is a wasteful number, since it uses less digits than its factorization.

3652380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3652380000 is about 60434.9236782839. The cubic root of 3652380000 is about 1540.0163038697.

The spelling of 3652380000 in words is "three billion, six hundred fifty-two million, three hundred eighty thousand".