3338647117650 has 672 divisors, whose sum is σ = 10666086493440. Its totient is φ = 770339082240.

The previous prime is 3338647117607. The next prime is 3338647117681. The reversal of 3338647117650 is 567117468333.

3338647117650 is a `hidden beast` number, since 3 + 3 + 386 + 47 + 1 + 176 + 50 = 666.

It is a super-3 number, since 3×3338647117650³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 873303639 + ... + 873307461.

It is an arithmetic number, because the mean of its divisors is an integer number (15872152520).

Almost surely, 2^{3338647117650} is an apocalyptic number.

3338647117650 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 3338647117650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333043246720).

3338647117650 is an abundant number, since it is smaller than the sum of its proper divisors (7327439375790).

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

3338647117650 is a wasteful number, since it uses less digits than its factorization.

3338647117650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3338647117650 in words is "three trillion, three hundred thirty-eight billion, six hundred forty-seven million, one hundred seventeen thousand, six hundred fifty".