3908561347782 has 288 divisors, whose sum is σ = 11074313053440. Its totient is φ = 986360094720.

The previous prime is 3908561347781. The next prime is 3908561347799. The reversal of 3908561347782 is 2877431658093.

3908561347782 is a `hidden beast` number, since 3 + 9 + 0 + 8 + 5 + 613 + 4 + 7 + 7 + 8 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3908561347781) 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 143 ways as a sum of consecutive naturals, for example, 31572918 + ... + 31696470.

It is an arithmetic number, because the mean of its divisors is an integer number (38452475880).

It is a 1-persistent number, because it is pandigital, but 2⋅3908561347782 = 7817122695564 is not.

Almost surely, 2^{3908561347782} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3908561347782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537156526720).

3908561347782 is an abundant number, since it is smaller than the sum of its proper divisors (7165751705658).

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

3908561347782 is a wasteful number, since it uses less digits than its factorization.

3908561347782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123708 (or 123698 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3908561347782 in words is "three trillion, nine hundred eight billion, five hundred sixty-one million, three hundred forty-seven thousand, seven hundred eighty-two".