3397386240000 has 675 divisors, whose sum is σ = 12683709419227. Its totient is φ = 905969664000.

The previous prime is 3397386239963. The next prime is 3397386240013. The reversal of 3397386240000 is 426837933.

The square root of 3397386240000 is 1843200.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (5!)⁴ ⋅ (2!)¹⁴.

3397386240000 is a `hidden beast` number, since 339 + 73 + 8 + 6 + 240 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 266355081216 + 3131031158784 = 516096^2 + 1769472^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=960.

It is a super-3 number, since 3×3397386240000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 19200 × 11520 × 15360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 679477247998 + ... + 679477248002.

Almost surely, 2^{3397386240000} is an apocalyptic number.

3397386240000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3397386240000 is the 1843200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3397386240000

3397386240000 is an abundant number, since it is smaller than the sum of its proper divisors (9286323179227).

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

3397386240000 is an frugal number, since it uses more digits than its factorization.

3397386240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 3397386240000 in words is "three trillion, three hundred ninety-seven billion, three hundred eighty-six million, two hundred forty thousand".