3350688768 has 440 divisors, whose sum is σ = 11888976000. Its totient is φ = 919683072.

The previous prime is 3350688721. The next prime is 3350688791. The reversal of 3350688768 is 8678860533.

It is a happy number.

It is a super-2 number, since 2×3350688768² = 22454230440002715648, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16837533 + ... + 16837731.

It is an arithmetic number, because the mean of its divisors is an integer number (27020400).

Almost surely, 2^3350688768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3350688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5944488000).

3350688768 is an abundant number, since it is smaller than the sum of its proper divisors (8538287232).

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

3350688768 is a wasteful number, since it uses less digits than its factorization.

3350688768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3350688768 is about 57885.1342574240. The cubic root of 3350688768 is about 1496.3896532359.

The spelling of 3350688768 in words is "three billion, three hundred fifty million, six hundred eighty-eight thousand, seven hundred sixty-eight".