3397008695808 has 320 divisors, whose sum is σ = 11290881837312. Its totient is φ = 883638927360.

The previous prime is 3397008695803. The next prime is 3397008695813. The reversal of 3397008695808 is 8085968007933.

It is an interprime number because it is at equal distance from previous prime (3397008695803) and next prime (3397008695813).

It is not an unprimeable number, because it can be changed into a prime (3397008695803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10037188 + ... + 10370108.

Almost surely, 2^{3397008695808} 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 3397008695808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645440918656).

3397008695808 is an abundant number, since it is smaller than the sum of its proper divisors (7893873141504).

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

3397008695808 is a wasteful number, since it uses less digits than its factorization.

3397008695808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333035 (or 333019 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 3397008695808 in words is "three trillion, three hundred ninety-seven billion, eight million, six hundred ninety-five thousand, eight hundred eight".