3397702012320 has 1152 divisors, whose sum is σ = 14077672390656. Its totient is φ = 673440768000.

The previous prime is 3397702012303. The next prime is 3397702012337. The reversal of 3397702012320 is 232102077933.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3397702012303) and next prime (3397702012337).

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 191 ways as a sum of consecutive naturals, for example, 894836662 + ... + 894840458.

It is an arithmetic number, because the mean of its divisors is an integer number (12220201728).

Almost surely, 2^{3397702012320} is an apocalyptic number.

3397702012320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3397702012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7038836195328).

3397702012320 is an abundant number, since it is smaller than the sum of its proper divisors (10679970378336).

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

3397702012320 is a wasteful number, since it uses less digits than its factorization.

3397702012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The spelling of 3397702012320 in words is "three trillion, three hundred ninety-seven billion, seven hundred two million, twelve thousand, three hundred twenty".