3682451583360 has 768 divisors, whose sum is σ = 14475464640000. Its totient is φ = 883996692480.

The previous prime is 3682451583337. The next prime is 3682451583373. The reversal of 3682451583360 is 633851542863.

3682451583360 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 4 + 51 + 583 + 3 + 6 + 0 = 666.

3682451583360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3682451583297 and 3682451583306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215352091 + ... + 215369189.

It is an arithmetic number, because the mean of its divisors is an integer number (18848261250).

Almost surely, 2^{3682451583360} is an apocalyptic number.

3682451583360 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 3682451583360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7237732320000).

3682451583360 is an abundant number, since it is smaller than the sum of its proper divisors (10793013056640).

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

3682451583360 is a wasteful number, since it uses less digits than its factorization.

3682451583360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17252 (or 17223 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 3682451583360 in words is "three trillion, six hundred eighty-two billion, four hundred fifty-one million, five hundred eighty-three thousand, three hundred sixty".