3306906701280 has 576 divisors, whose sum is σ = 14620019581440. Its totient is φ = 660998320128.

The previous prime is 3306906701213. The next prime is 3306906701291. The reversal of 3306906701280 is 821076096033.

3306906701280 is a `hidden beast` number, since 3 + 306 + 9 + 0 + 67 + 0 + 1 + 280 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1825659 + ... + 3153861.

It is an arithmetic number, because the mean of its divisors is an integer number (25381978440).

Almost surely, 2^{3306906701280} is an apocalyptic number.

3306906701280 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 3306906701280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7310009790720).

3306906701280 is an abundant number, since it is smaller than the sum of its proper divisors (11313112880160).

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

3306906701280 is a wasteful number, since it uses less digits than its factorization.

3306906701280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328263 (or 1328252 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 3306906701280 in words is "three trillion, three hundred six billion, nine hundred six million, seven hundred one thousand, two hundred eighty".