3397568148000 has 1152 divisors, whose sum is σ = 13428785470464. Its totient is φ = 808233984000.

The previous prime is 3397568147959. The next prime is 3397568148019. The reversal of 3397568148000 is 8418657933.

3397568148000 is a `hidden beast` number, since 3 + 39 + 7 + 56 + 81 + 480 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1825667070 + ... + 1825668930.

It is an arithmetic number, because the mean of its divisors is an integer number (11656931832).

Almost surely, 2^{3397568148000} is an apocalyptic number.

3397568148000 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 3397568148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714392735232).

3397568148000 is an abundant number, since it is smaller than the sum of its proper divisors (10031217322464).

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

3397568148000 is a wasteful number, since it uses less digits than its factorization.

3397568148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3397568148000 in words is "three trillion, three hundred ninety-seven billion, five hundred sixty-eight million, one hundred forty-eight thousand".