3340266209280 has 3072 divisors, whose sum is σ = 16268551004160. Its totient is φ = 611529523200.

The previous prime is 3340266209219. The next prime is 3340266209299. The reversal of 3340266209280 is 829026620433.

It is a happy number.

3340266209280 is a `hidden beast` number, since 3 + 3 + 402 + 66 + 20 + 92 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×3340266209280² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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, 45757071324 + ... + 45757071396.

It is an arithmetic number, because the mean of its divisors is an integer number (5295752280).

Almost surely, 2^{3340266209280} is an apocalyptic number.

3340266209280 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 3340266209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8134275502080).

3340266209280 is an abundant number, since it is smaller than the sum of its proper divisors (12928284794880).

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

3340266209280 is a wasteful number, since it uses less digits than its factorization.

3340266209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3340266209280 in words is "three trillion, three hundred forty billion, two hundred sixty-six million, two hundred nine thousand, two hundred eighty".