3346950716928 has 1200 divisors, whose sum is σ = 12557236530960. Its totient is φ = 877609893888.

The previous prime is 3346950716911. The next prime is 3346950716957. The reversal of 3346950716928 is 8296170596433.

3346950716928 is a `hidden beast` number, since 3 + 3 + 4 + 69 + 507 + 1 + 69 + 2 + 8 = 666.

It is a super-2 number, since 2×3346950716928² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19346535850 + ... + 19346536022.

It is a 1-persistent number, because it is pandigital, but 2⋅3346950716928 = 6693901433856 is not.

Almost surely, 2^{3346950716928} 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 3346950716928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278618265480).

3346950716928 is an abundant number, since it is smaller than the sum of its proper divisors (9210285814032).

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

3346950716928 is an frugal number, since it uses more digits than its factorization.

3346950716928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3346950716928 in words is "three trillion, three hundred forty-six billion, nine hundred fifty million, seven hundred sixteen thousand, nine hundred twenty-eight".