3398916288768 has 1152 divisors, whose sum is σ = 12647550418944. Its totient is φ = 781730611200.

The previous prime is 3398916288749. The next prime is 3398916288773. The reversal of 3398916288768 is 8678826198933.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 3398916288693 and 3398916288702.

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 127 ways as a sum of consecutive naturals, for example, 3026639055 + ... + 3026640177.

Almost surely, 2^{3398916288768} 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 3398916288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323775209472).

3398916288768 is an abundant number, since it is smaller than the sum of its proper divisors (9248634130176).

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

3398916288768 is a wasteful number, since it uses less digits than its factorization.

3398916288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1317 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 78.

The spelling of 3398916288768 in words is "three trillion, three hundred ninety-eight billion, nine hundred sixteen million, two hundred eighty-eight thousand, seven hundred sixty-eight".