3682369978560 has 2688 divisors, whose sum is σ = 17334390528000. Its totient is φ = 722369249280.

The previous prime is 3682369978523. The next prime is 3682369978561. The reversal of 3682369978560 is 658799632863.

3682369978560 is a `hidden beast` number, since 36 + 8 + 23 + 6 + 9 + 9 + 7 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3682369978561) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 8201269216 + ... + 8201269664.

It is an arithmetic number, because the mean of its divisors is an integer number (6448806000).

Almost surely, 2^{3682369978560} is an apocalyptic number.

3682369978560 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 3682369978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8667195264000).

3682369978560 is an abundant number, since it is smaller than the sum of its proper divisors (13652020549440).

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

3682369978560 is a wasteful number, since it uses less digits than its factorization.

3682369978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 3682369978560 in words is "three trillion, six hundred eighty-two billion, three hundred sixty-nine million, nine hundred seventy-eight thousand, five hundred sixty".