3597441382080 has 1344 divisors, whose sum is σ = 15601910059008. Its totient is φ = 740670013440.

The previous prime is 3597441382069. The next prime is 3597441382123. The reversal of 3597441382080 is 802831447953.

It is a happy number.

3597441382080 is a `hidden beast` number, since 3 + 5 + 9 + 74 + 413 + 82 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1916590102 + ... + 1916591978.

It is an arithmetic number, because the mean of its divisors is an integer number (11608564032).

Almost surely, 2^{3597441382080} is an apocalyptic number.

3597441382080 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 3597441382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7800955029504).

3597441382080 is an abundant number, since it is smaller than the sum of its proper divisors (12004468676928).

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

3597441382080 is a wasteful number, since it uses less digits than its factorization.

3597441382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3597441382080 in words is "three trillion, five hundred ninety-seven billion, four hundred forty-one million, three hundred eighty-two thousand, eighty".