3293401066020 has 480 divisors, whose sum is σ = 11192238945888. Its totient is φ = 805893193728.

The previous prime is 3293401066019. The next prime is 3293401066037. The reversal of 3293401066020 is 206601043923.

3293401066020 is a `hidden beast` number, since 3 + 2 + 9 + 3 + 40 + 1 + 0 + 6 + 602 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2570846664996 + 722554401024 = 1603386^2 + 850032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4350595482 + ... + 4350596238.

Almost surely, 2^{3293401066020} is an apocalyptic number.

3293401066020 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 3293401066020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596119472944).

3293401066020 is an abundant number, since it is smaller than the sum of its proper divisors (7898837879868).

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

3293401066020 is a wasteful number, since it uses less digits than its factorization.

3293401066020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 3293401066020 in words is "three trillion, two hundred ninety-three billion, four hundred one million, sixty-six thousand, twenty".