3720809005056 has 960 divisors, whose sum is σ = 13079537856000. Its totient is φ = 1030540492800.

The previous prime is 3720809005007. The next prime is 3720809005057. The reversal of 3720809005056 is 6505009080273.

It is a happy number.

3720809005056 is a `hidden beast` number, since 37 + 20 + 8 + 0 + 90 + 0 + 505 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3720809005057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8286879520 + ... + 8286879968.

It is an arithmetic number, because the mean of its divisors is an integer number (13624518600).

Almost surely, 2^{3720809005056} is an apocalyptic number.

3720809005056 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 3720809005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6539768928000).

3720809005056 is an abundant number, since it is smaller than the sum of its proper divisors (9358728850944).

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

3720809005056 is a wasteful number, since it uses less digits than its factorization.

3720809005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 3720809005056 in words is "three trillion, seven hundred twenty billion, eight hundred nine million, five thousand, fifty-six".