3582984040416 has 384 divisors, whose sum is σ = 11833352294400. Its totient is φ = 1044907776000.

The previous prime is 3582984040399. The next prime is 3582984040417. The reversal of 3582984040416 is 6140404892853.

3582984040416 is a `hidden beast` number, since 3 + 582 + 9 + 8 + 4 + 0 + 40 + 4 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3582984040417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53293350 + ... + 53360538.

It is an arithmetic number, because the mean of its divisors is an integer number (30816021600).

Almost surely, 2^{3582984040416} is an apocalyptic number.

3582984040416 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 3582984040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916676147200).

3582984040416 is an abundant number, since it is smaller than the sum of its proper divisors (8250368253984).

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

3582984040416 is a wasteful number, since it uses less digits than its factorization.

3582984040416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67431 (or 67417 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 3582984040416 in words is "three trillion, five hundred eighty-two billion, nine hundred eighty-four million, forty thousand, four hundred sixteen".