3908611618560 has 1152 divisors, whose sum is σ = 15753992970240. Its totient is φ = 916641792000.

The previous prime is 3908611618559. The next prime is 3908611618567. The reversal of 3908611618560 is 658161168093.

3908611618560 is a `hidden beast` number, since 3 + 9 + 0 + 8 + 6 + 11 + 61 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3908611618497 and 3908611618506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3908611618567) 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 127 ways as a sum of consecutive naturals, for example, 1425978790 + ... + 1425981530.

It is an arithmetic number, because the mean of its divisors is an integer number (13675341120).

Almost surely, 2^{3908611618560} is an apocalyptic number.

3908611618560 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 3908611618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7876996485120).

3908611618560 is an abundant number, since it is smaller than the sum of its proper divisors (11845381351680).

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

3908611618560 is a wasteful number, since it uses less digits than its factorization.

3908611618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 3908611618560 in words is "three trillion, nine hundred eight billion, six hundred eleven million, six hundred eighteen thousand, five hundred sixty".