3682560024 has 288 divisors, whose sum is σ = 12229963200. Its totient is φ = 1029075840.

The previous prime is 3682559999. The next prime is 3682560083. The reversal of 3682560024 is 4200652863.

3682560024 is a `hidden beast` number, since 3 + 6 + 8 + 25 + 600 + 24 = 666.

It is a super-2 number, since 2×3682560024² = 27122496660725761152, which contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3613387 + ... + 3614405.

It is an arithmetic number, because the mean of its divisors is an integer number (42465150).

Almost surely, 2^3682560024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682560024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114981600).

3682560024 is an abundant number, since it is smaller than the sum of its proper divisors (8547403176).

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

3682560024 is a wasteful number, since it uses less digits than its factorization.

3682560024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3682560024 is about 60684.1002569866. The cubic root of 3682560024 is about 1544.2464493803.

The spelling of 3682560024 in words is "three billion, six hundred eighty-two million, five hundred sixty thousand, twenty-four".