3600138240 has 360 divisors, whose sum is σ = 13188062160. Its totient is φ = 905969664.

The previous prime is 3600138239. The next prime is 3600138277. The reversal of 3600138240 is 428310063.

It is a happy number.

3600138240 is a `hidden beast` number, since 3 + 600 + 1 + 38 + 24 + 0 = 666.

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

It is a super-2 number, since 2×3600138240² = 25921990694220595200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14008192 + ... + 14008448.

It is an arithmetic number, because the mean of its divisors is an integer number (36633506).

Almost surely, 2^3600138240 is an apocalyptic number.

3600138240 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 3600138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594031080).

3600138240 is an abundant number, since it is smaller than the sum of its proper divisors (9587923920).

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

3600138240 is a wasteful number, since it uses less digits than its factorization.

3600138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3600138240 is about 60001.1519889410. The cubic root of 3600138240 is about 1532.6384820575.

The spelling of 3600138240 in words is "three billion, six hundred million, one hundred thirty-eight thousand, two hundred forty".