3682821945600 has 540 divisors, whose sum is σ = 15562381902144. Its totient is φ = 841787043840.

The previous prime is 3682821945559. The next prime is 3682821945611. The reversal of 3682821945600 is 65491282863.

3682821945600 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 8 + 21 + 9 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3121357 + ... + 4136243.

Almost surely, 2^{3682821945600} is an apocalyptic number.

3682821945600 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 3682821945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7781190951072).

3682821945600 is an abundant number, since it is smaller than the sum of its proper divisors (11879559956544).

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

3682821945600 is a wasteful number, since it uses less digits than its factorization.

3682821945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014932 (or 1014904 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3682821945600 in words is "three trillion, six hundred eighty-two billion, eight hundred twenty-one million, nine hundred forty-five thousand, six hundred".