3367198640256 has 512 divisors, whose sum is σ = 10211454812160. Its totient is φ = 981988761600.

The previous prime is 3367198640209. The next prime is 3367198640269. The reversal of 3367198640256 is 6520468917633.

3367198640256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3367198640256² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3367198640256.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3533261476 + ... + 3533262428.

It is an arithmetic number, because the mean of its divisors is an integer number (19944247680).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3367198640256 = 6734397280512, but 3⋅3367198640256 = 10101595920768 is not.

Almost surely, 2^{3367198640256} 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 3367198640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105727406080).

3367198640256 is an abundant number, since it is smaller than the sum of its proper divisors (6844256171904).

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

3367198640256 is a wasteful number, since it uses less digits than its factorization.

3367198640256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 3367198640256 in words is "three trillion, three hundred sixty-seven billion, one hundred ninety-eight million, six hundred forty thousand, two hundred fifty-six".