3582723672036 has 288 divisors, whose sum is σ = 9698902886400. Its totient is φ = 1113174835200.

The previous prime is 3582723672007. The next prime is 3582723672041. The reversal of 3582723672036 is 6302763272853.

3582723672036 is a `hidden beast` number, since 3 + 5 + 8 + 2 + 72 + 367 + 203 + 6 = 666.

3582723672036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2560916865 + ... + 2560918263.

Almost surely, 2^{3582723672036} is an apocalyptic number.

3582723672036 is a gapful number since it is divisible by the number (36) 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 3582723672036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849451443200).

3582723672036 is an abundant number, since it is smaller than the sum of its proper divisors (6116179214364).

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

3582723672036 is a wasteful number, since it uses less digits than its factorization.

3582723672036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 3582723672036 in words is "three trillion, five hundred eighty-two billion, seven hundred twenty-three million, six hundred seventy-two thousand, thirty-six".