3682554624 has 432 divisors, whose sum is σ = 12918407040. Its totient is φ = 1031546880.

The previous prime is 3682554619. The next prime is 3682554641. The reversal of 3682554624 is 4264552863.

3682554624 is a `hidden beast` number, since 3 + 6 + 82 + 5 + 546 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3682554624² = 27122417117487562752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3682554624.

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 47 ways as a sum of consecutive naturals, for example, 28111039 + ... + 28111169.

It is an arithmetic number, because the mean of its divisors is an integer number (29903720).

Almost surely, 2^3682554624 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 3682554624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459203520).

3682554624 is an abundant number, since it is smaller than the sum of its proper divisors (9235852416).

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

3682554624 is a wasteful number, since it uses less digits than its factorization.

3682554624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 226 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 3682554624 is about 60684.0557642615. The cubic root of 3682554624 is about 1544.2456945671.

The spelling of 3682554624 in words is "three billion, six hundred eighty-two million, five hundred fifty-four thousand, six hundred twenty-four".