3390826851360 has 1536 divisors, whose sum is σ = 13609872460800. Its totient is φ = 782566686720.

The previous prime is 3390826851359. The next prime is 3390826851371. The reversal of 3390826851360 is 631586280933.

It is a happy number.

3390826851360 is a `hidden beast` number, since 3 + 3 + 9 + 0 + 8 + 2 + 68 + 513 + 60 = 666.

It is a super-2 number, since 2×3390826851360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3390826851297 and 3390826851306.

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 255 ways as a sum of consecutive naturals, for example, 14069820840 + ... + 14069821080.

It is an arithmetic number, because the mean of its divisors is an integer number (8860594050).

Almost surely, 2^{3390826851360} is an apocalyptic number.

3390826851360 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 3390826851360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804936230400).

3390826851360 is an abundant number, since it is smaller than the sum of its proper divisors (10219045609440).

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

3390826851360 is a wasteful number, since it uses less digits than its factorization.

3390826851360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3390826851360 in words is "three trillion, three hundred ninety billion, eight hundred twenty-six million, eight hundred fifty-one thousand, three hundred sixty".