3358547809920 has 192 divisors, whose sum is σ = 11612237401440. Its totient is φ = 894473533440.

The previous prime is 3358547809907. The next prime is 3358547809957. The reversal of 3358547809920 is 299087458533.

3358547809920 is a `hidden beast` number, since 3 + 3 + 5 + 8 + 547 + 80 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3358547809920² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4162675 + ... + 4903565.

Almost surely, 2^{3358547809920} is an apocalyptic number.

3358547809920 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 3358547809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806118700720).

3358547809920 is an abundant number, since it is smaller than the sum of its proper divisors (8253689591520).

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

3358547809920 is a wasteful number, since it uses less digits than its factorization.

3358547809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741703 (or 741688 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 3358547809920 in words is "three trillion, three hundred fifty-eight billion, five hundred forty-seven million, eight hundred nine thousand, nine hundred twenty".