3997668965850 has 480 divisors, whose sum is σ = 12859100179200. Its totient is φ = 901953792000.

The previous prime is 3997668965783. The next prime is 3997668965869. The reversal of 3997668965850 is 585698667993.

3997668965850 is a `hidden beast` number, since 399 + 7 + 6 + 68 + 96 + 5 + 85 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 3997668965850.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1027940706 + ... + 1027944594.

It is an arithmetic number, because the mean of its divisors is an integer number (26789792040).

Almost surely, 2^{3997668965850} is an apocalyptic number.

3997668965850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3997668965850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429550089600).

3997668965850 is an abundant number, since it is smaller than the sum of its proper divisors (8861431213350).

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

3997668965850 is a wasteful number, since it uses less digits than its factorization.

3997668965850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 5290790400, while the sum is 81.

The spelling of 3997668965850 in words is "three trillion, nine hundred ninety-seven billion, six hundred sixty-eight million, nine hundred sixty-five thousand, eight hundred fifty".