3537664047360 has 864 divisors, whose sum is σ = 13234259001600. Its totient is φ = 870222397440.

The previous prime is 3537664047331. The next prime is 3537664047367. The reversal of 3537664047360 is 637404667353.

3537664047360 is a `hidden beast` number, since 3 + 5 + 3 + 76 + 6 + 40 + 473 + 60 = 666.

3537664047360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3537664047297 and 3537664047306.

It is not an unprimeable number, because it can be changed into a prime (3537664047367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 966837211 + ... + 966840869.

It is an arithmetic number, because the mean of its divisors is an integer number (15317429400).

Almost surely, 2^{3537664047360} is an apocalyptic number.

3537664047360 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 3537664047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617129500800).

3537664047360 is an abundant number, since it is smaller than the sum of its proper divisors (9696594954240).

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

3537664047360 is a wasteful number, since it uses less digits than its factorization.

3537664047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 54.

The spelling of 3537664047360 in words is "three trillion, five hundred thirty-seven billion, six hundred sixty-four million, forty-seven thousand, three hundred sixty".