359879409108 has 240 divisors, whose sum is σ = 999487104000. Its totient is φ = 112598657280.

The previous prime is 359879409103. The next prime is 359879409139. The reversal of 359879409108 is 801904978953.

359879409108 is a `hidden beast` number, since 3 + 59 + 8 + 79 + 409 + 108 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359879409101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 410352366 + ... + 410353242.

It is an arithmetic number, because the mean of its divisors is an integer number (4164529600).

Almost surely, 2^359879409108 is an apocalyptic number.

359879409108 is a gapful number since it is divisible by the number (38) 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 359879409108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499743552000).

359879409108 is an abundant number, since it is smaller than the sum of its proper divisors (639607694892).

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

359879409108 is a wasteful number, since it uses less digits than its factorization.

359879409108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 359879409108 in words is "three hundred fifty-nine billion, eight hundred seventy-nine million, four hundred nine thousand, one hundred eight".