3305877120000 has 3960 divisors, whose sum is σ = 16120606798296. Its totient is φ = 644087808000.

The previous prime is 3305877119971. The next prime is 3305877120019. The reversal of 3305877120000 is 217785033.

3305877120000 is a `hidden beast` number, since 3 + 3 + 0 + 587 + 71 + 2 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 3204844683264 + 101032436736 = 1790208^2 + 317856^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 62375039974 + ... + 62375040026.

Almost surely, 2^{3305877120000} is an apocalyptic number.

3305877120000 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 3305877120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060303399148).

3305877120000 is an abundant number, since it is smaller than the sum of its proper divisors (12814729678296).

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

3305877120000 is a wasteful number, since it uses less digits than its factorization.

3305877120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 3305877120000 in words is "three trillion, three hundred five billion, eight hundred seventy-seven million, one hundred twenty thousand".